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grandymaker [24]
3 years ago
11

A farmer owns a 2000-acre farm and can plant any combination of two crops, A and B. Crop A requires 1 person-day of labor and $9

0.00 of capital for each acre planted, while crop B requires 2 person-days and $60.00 of capital for each acre planted. Crop A produces $170.00 in revenue per acre, and crop B produces $190.00 in revenue per acre. The farmer has $150,000.00 of capital and 3000 person-days of labor available for the year. How many acres of each crop should the farmer plant in order to maximize the total revenue?
Mathematics
1 answer:
blagie [28]3 years ago
6 0
A+2b=3000
90a+60b=150000

-90a-180b=-127000
90a+60b=150000

-120b=-120000
b=1000

a+2000=3000
a=1000

crop a=1000
crop b=1000
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Answer:

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Step-by-step explanation:

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First, graph:

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Second, graph:

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Note that y = x is the equation of a positive slope line = 1 that passes through the origin.

The graph of this function is shown in the attached image. Note that it matches the absolute value graph of x.

y = | x |

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Therefore the domain is:

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The range is:

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