Dolls And Dollhouses

help with this question?

A small company produces both dollhouses and sets of doll furniture. The dollhouses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 dollhouses and 10 sets of furniture be produced per week. Write a system of inequalities representing this situation, where x is the number of dollhouses and y is the number of furniture sets. Then graph the system of inequalities.

3 hours to make a dollhouse
8 hours to furnish it
that’s 11 hours … divide 11 into 400 & in one week the factory is able to make 36 and 4/11 sets

20 dollhouses = 60 hours
10 furniture sets = 80 hours

I am not familiar with “inequalities” theory

The work that you describe is doomed to failure.

Consider what US consumers are willing to pay for a fully furnished dollhouse, and what US workers expect to be paid for a day’s work. Something does not compute here.

Either the company will relocate the manufacturing to China or some place, then there will be product made that fails import restrictions, because unsafe for US children, or the company will find itself in competition with another company that can get the job done by robots.

Furniture for a doll house can be made by machinery … one each miniature chair, table, whatever, in less than a second.

Decorator Doll House

Doll House Miniature Picnic basket fruit and veggies $2.69

MINIATURE DOLL HOUSE FURNITURE LOT #51 GOLF SHOES AND CLUB $12.79

Doll House Miniature Copper Mixing Bowl set w/ Ladles Spatulas and Rack $5.99

Wooden Doll House Furniture- garden and hose. so cute! $4.99

New 139 PC Dollhouse Toy 2 Story 5 Room Baclony Condo Fits Barbie Size and Doll $35.00

DOLLHOUSE MOVEABLE DOLL 4FATHER AND MOTHER TOTAL OF 4 $9.99

1994 Mattel Kelly Doll Dark Hair in Pink Nightgown and Slippers Dollhouse Size $3.99

DOLLHOUSE DOLL DOCTOR AND NURSE $17.99

Doll House Piano and a Hunch $13.00

6 Lovely Mix Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $6.99

Vintage Doll Dollhouse House Furniture! Creamer and Sugar for Mini Tea Set! 3 PC $9.99

DOLL HOUSE BARREL OF NAILS AND CARPENTERS FULL TOOL BOX $7.99

3 Mix Cake Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $4.99

Doll House Bath tub and Sink plastic Mattel $5.50

3 Mixs Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $3.99

3 Mixs Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $3.99

3 Mix Seafood Dollhouse miniature Food,Barbie and Ken Doll Collectibles $4.99

1984 punch and play doll house story play book mint unused $9.99

Dollhouse Doll House Miniatures 5 Pc Tea Set and 7 Pc Serving Set NEW $9.95

Dollhouse Doll House Miniatures 8 Piece Punch Set Bowl 6 Cups and Ladle $9.95

Handmade Doll House Miniature Pillows and Needlepoint Quilt $7.95

Doll House Miniature Ideal Furniture Table and 4 Chairs $14.99

3 Mix Seafood Dollhouse miniature Food,Barbie and Ken Doll Collectibles $4.99

Wooden Hutch and Rocking Chair Doll House Miniature $5.99

Doll House Toy Furniture Grandfather Clock and 2 Chairs $9.99

Doll House Toy Furniture Miniature Doll House and High Chair $9.99

3 Lovely Mix Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $3.99

Doll House Toy Furniture Plaid Chairs and Table $9.99

Doll House Toy Furniture Plaid Couch and Coffee Table $9.99

Doll House Miniature ~ Hand carved and Jointed, Painted Toy Bunny OOAK IGMA $22.29

Doll House Toy Furniture Plaid Side Chairs and End Table $9.99

Doll House Toy Furniture Table and 2 Chairs $9.99

Doll House House of Miniatures X-ACTO Chippendale Sofa and Wing Chair Kits $10.00

Dollhouse miniature Burger,Tiny Food,Barbie and Ken Doll Collectibles $0.99

Dollhouse miniature Salmon Steak,Tiny Food,Barbie and Ken Doll Collectibles $0.99

Dollhouse miniature Steak,Tiny Food,Barbie and Ken Doll Collectibles $0.99

Dollhouse miniature Breakfast,Tiny Food,Barbie and Ken Doll Collectibles $0.99

7 piece brass minature doll house set plus 3 children and bird $29.00

Vintage doll house miniatures incl 1920’s table and chair set and chaise lounge $65.00

Vin 20th c doll house wood framed “painting” of little girl pouring milk and cat $14.00

Vin 20th c doll house dolls and miscl miniature clothing $11.00

Vintage doll house 1970’s-80’s garden porcelain potted plants and mod vase WOW $15.00

Lunby doll house rug 1970’s and Concord doll house for nursery still in package $22.00

Doll House Bed cover hand made w/lace and 3 pillows Vintage /70’s Clean Mint $15.00

5 vintage doll house metal toys: Tootsie Toy and English painted metal NICE $22.00

MINIATURE DOLL HOUSE TURQUOISE AND WHITE CUSHIONS X 4 12TH SCALE $4.45

Vintage 9 piece lot doll house miniature presents Xmas and Halloween, books more $28.00

Vintage miniature planter with wonderful flowers and greenery for doll house gar $21.00

Vintage miniature planter and snowman scene for doll house garden $15.00

3 Mixs Dollhouse miniature Steak,Tiny Food,Barbie and Ken Doll Collectibles $3.99

3 Mixs Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $3.99

3 Mixs Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $3.99

4 Mixs Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $5.99

4 Mixs Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $5.99

6 Mixs Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $7.99

5 Mixs Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $6.99

5 Mixs Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $6.99

3 Mixs Dollhouse miniature Food,Tiny Food,Barbie and Ken Doll Collectibles $3.99

Whole House Doll House Furniture and accessories $59.00

Vintage Metal Doll House with some original and additional furniture $30.00

M45 Doll House Miniatures – Japan Style Table and other $2.30

M66 Doll House Miniatures – Cafe Table and Pair of Chairs $5.80

VINTAGE DOLL HOUSE PUPPEN TEE AND LIKOR SERVICE(GERMANY) W/ORIGINAL CONTAINERS $7.99

1966 BATMAN AND ROBIN GAME -1/12″ scale Doll House Miniature $5.99

Doll House Miniature -10 copies 1860s posters in black and white from 1970 $2.00

Doll House Miniature Armoir with Mirror and Drawer $10.95

2 dollhouse dolls 6″, bisque and cloth, wigs, nice dresses; 5″ cheval mirror $9.99

Antique Porcelain Doll House Table and Chairs Japan $14.00

Dollhouse miniatures – 12th scale Brass Dolls House Handles and Keys Set $6.50

WOODEN PLAY DOLL HOUSE WITH FURNITURE AND ELEVATOR FITS BARBIE SIZE DOLLS $35.00

Doll House Miniature Dog with house food and bag of Kibbles $5.08

Doll house Miniature Bible and Dictionary combo $3.41

STRAWBERRY SHORTCAKE DOLL HOUSE W/ DOLLS AND MISC. $9.99

Vintage Smaller Home and Garden doll house by Tomy $39.99

Tutti Playhouse Dollhouse and Doll Vintage Barbie ’s sister Excellent condition $19.99

MPC Orange And Red Plastic Doll House Furniture Lot 29 pcs Warehouse Find! $7.99

DOLLHOUSE MINIATURE TINY PORCELAIN KEWPIE DOLL VERY CUTE AND TINY $15.00

VINTAGE RENWAL DOLL HOUSE CONSOLE RADIO AND PHONOGRAPH PLAYER – EXCELLENT $14.99

MIXTURE LOT OF DOLL HOUSE FURNITURE AND 2 BABIES $13.50

Gorgeous Handcrafted Log Cabin Doll House With Stone Fireplace and Furniture $350.00

Miniature Dollhouse Doll House Black And White Cat $10.99

White Wicker Wired Doll House Shelf and Plant Stand $43.00

Doll House Toy Furniture-3 Piece Bookshelf, Dresser and Rocking Chair $9.99

MARE AND FOAL FOR YOUR DOLL HOUSE YARD – FURRY $10.99

Mix of Doll House Doors and Windows and More. $14.99

Vintage Doll House Hard Plastic Sewing Machine Opens and Closes by Ideal $10.00

Barbie Doll House Food for the Kitchen – Dessert Yellow Cake and Cupcakes $0.99

Barbie Doll House Food for the Kitchen – Slices of Bread and Ice Cream Sundae $0.99

DOLL HOUSE (Minature Dining Room Table and Chairs) Handmade-Southwest Design $25.00

7 Pieces Vintage Patio and Outdoor Doll House Lot Renwal, Ideal Etc. $10.50

Brass Doll House Furniture – Coat Rack Stand and Swivel Standing Mirror $3.99

Doll House Victorian 1/12 Scale floor panel 11″ X 16″ sheet black and white #56 $5.20

Doll House Miniature Dresser with Tilting Mirror and Wardrobe Closet $5.95

Doll House Miniature SOFA AND WING BACK CHAIR $4.95

Dollhouse Doll Grand Piano and Bench, Sheet Music $6.99

Two 2 1/4 Inch German Dollhouse Dolls Husband and Wife $27.99

Doll House Miniature Salt and peper shakers $2.69

Miniature Doll house Roast in tin w/ potatoes,onions,and carrots WoW Look $1.99

Doll House Miniature SPICE RACK AND 4 SPICE JARS $2.45

ONE Vintage Acme Doll House Furniture Green and white Tommy House $9.99

Royal Albert Old Country Roses Le Petite 9-Piece Tea Set $59.95 The best selling dinnerware pattern in the world! The nostalgic warmth of Old Country Roses has stood the test of time. The cluster of roses almost fills the air with a sweet smell. Available in every serving piece and giftware imaginable. Old Country Roses is a pattern to be cherished….

Boston Warehouse Dollhouse Cheese Grater $14.99 Transform the simple task of grating cheese into a whimsical experience with the Boston Warehouse Dollhouse Cheese Grater. Featuring a fun dollhouse figure handle design, this grater has a sharp and long lasting stainless steel blade. The durable plastic handle makes this kitchen tool easy to use….

Small Ice Cream Parlor Table & 2 Chair Set of Rusty Tin (3 Pc Set) for Dolls or Shelf Display – Table Size: 5 High X 4 1/4 Diameter – Chair Size:2 3/4 Wide X 7 1/2 Tall X 3 Deep $12.99 Small Ice Cream Parlor Table & 2 Chair Set of Rusty Tin (3 pc set)…

Welcome To The Dollhouse $2.99 All products are BRAND NEW and factory sealed. Fast shipping and 100% Satisfaction Guaranteed….

Welcome To The Dollhouse $10.99 …

CINDERELLA’S DOLLHOUSE LG $4.99 Create the dollhouse of your dreams!Product InformationYou can decorate an array of fairytale settings- from the tiny Mouse House tothe lavish Royal Palace where Cinderella meets her handsome Prince. You’ll findhundreds of accessories to help you transform each room magically likesomething straight out of the story book!Activities Include Ballroom: Elegantly decorate the Palace for a gala ball. …

Amityville Dollhouse [VHS] $9.98 …

Secrets in the Attic – (aka The Dollhouse Murders) [VHS] $92.98 …

Queen Mary’s Dolls’ House [VHS] $19.95 Presented to Queen Mary in 1924, it remains an artistic epoch in miniature., the house is furnished in minute and sumptuous style. Take a close-up look at this amazing time capsule of 1920s English high society. From the working garage to the extravagent staterooms and enchanting gardens, this is one house tour you’ll want to take again and again….

Boston Warehouse Dollhouse Dustpan & Brush Set of 2 $9.99 Transform the simple task of sweeping up crumbs into a whimsical experience with the Boston Warehouse Dollhouse Dustpan and Brush. Featuring a fun dollhouse figure handle design, this is both durable and cute. Made of sturdy plastic and long-lasting bristles, sweep in style with the dollhouse dustpan and brush….

Willow Dollhouse Kit $81.14 All-wood dollhouse goes together with tab and slot constructionClassic colonial-style doll houseDollhouse comes unpainted so you can personalize it