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2 months ago

Evaluate the profit function at each vertex. P = 0.04x + 0.05y + 0.06(16 – x – y) (8, 1) P = (14, 1) P = (3, 6) P = (5, 10) P =

Mathematics

2 answers:

PIT_PIT [12.4K]2 months ago

6 0

Final Result:

A maximum profit of $(840) can be achieved by directing $(3,000) toward stock A, $(6,000) toward stock B, and $(7,000) towards stock C.

THIS IS PART B ON EDGE!!!

Detailed explanation:

Svet_ta [12.7K]2 months ago

3 0

The provided function is:
P = 0.04x + 0.05y + 0.06(16-x-y)

To determine the function's value at each vertex, simply plug in the respective x and y coordinates into the equation to find the value of P as shown below:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79

2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67

3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84

4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76

I hope this is useful:)

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