Problem A: A toy maker has enough wood to make 24 small toys or 6 large...

Problem A: A toy maker has enough wood to make 24 small toys or 6 large ones. In other words, the large toys require 4 times the amount of wood as the small toys. She has Time to make 16 of the Small toys or 8 of the Large toys. The Small toys sell for $15 each, while the Large toys bring $45 each. Find the combination of Small and Large toys that maximizes her Revenue dollars.

Let S= number of Small toys, L = number of Large toys, R = Revenue from sales, W = Wood used, and T = Time used.

1. Formulate the problem:

a. Explain in words what are your Decision Variables?

b. Formulate the Objective Function.

c. Formulate the Constraints.

2. Graph the constraints and show the Feasible Region.

b. Graph the Isorevenue line and show the solution Graphically.

c. State the coordinates of all the Corners Points

d. Find the solution by Corner Point Solution method.

Solutions

Expert Solution

And the maximum revenue is $300

Colby Messinger answered 1 year ago

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