2.-3. “A Place for Fido\" is a business that manufactures and sells custom-built

Question

2.-3. “A Place for Fido" is a business that manufactures and sells custom-built dog houses. A small dog house requires 15 square feet (ft2) of plywood and 6 ft of insulation. A large dog house requires 60 ft2 of plywood and 18 ft of insulation. The business currently has 900 ft2 of plywood and 120 ft of insulation on hand. If a small dog house sells for S55 and a large dog house sells for $100, what combination of small dog houses ("x") and large dog houses ('y") should be built to maximize the revenue R while staying within constraints? 2. Identify the building material constraint for plywood: 2. A. 15x +60y 2 900 B. 15x 60ys 900 C. 6x +18y 120 D. 6x + 18y 2 120 3. State the objective function. 3. C. R = 6x + 18y A. R=15x+60y B. R=100x + 55y D. R=55x + 100y

Explanation / Answer

small house = x

large houses = y

constraint is

15x + 60y <= 900

6x + 18y <= 120

building material for plywood is 15x + 60y <= 900

option b is correct

3) objective function is

R = 55x + 100y

option d is correct

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