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  1. Find the maximum value and the minimum value of the given function in the indicated region. (look below at attachment labeled “123” for the complete rest of the question)

f(x, y) = 7x + 6y

maximum value _______

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minimum value _______

2. Maximize the function f(x, y) = 6x + 8y in the region determined by the following constraints.

3x + 2y ≤ 18

3x + 4y ≥ 12

x ≥ 0

y ≥ 0

3. Solve the linear programming problem by using the graphing method illustrated in the below attached picture labeled “example”.

A manufacturer of golf clubs makes a profit of $40 per set on a model A set and $50 per set on a model B set. Daily production of the model A clubs is between 30 and 50 sets, inclusive, and that of the model B clubs is between 20 and 20 sets, inclusive. The total daily production is not to exceed 50 sets. How many sets of each model should be manufactured per day to maximize the profit?

model A _____ sets

model B _____sets

 
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