Philip P. answered • 02/11/17

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Let x = acres of corn planted and y = acres of oats. The revenue is:

R = $127x + $51y

The profit is revenue minus costs. The costs will be capital costs plus labor costs:

C = $36x + $18y + $8*(8x + 2y) = $100x + $34y

The profit is revenue - costs:

P = 127x + 51x - 100x - 34y = 27x + 27y

The constraints are:

x + y ≤ 110 acres

x ≥ 0

y ≥ 0

$36x + $18y ≤ $2100 (Capital Costs)

6x + 2y ≤ 300 (Labor hours)

- Graph the inequalities
- Identify the feasible region
- Determine the coordinates of the vertices of the feasible region
- Plug each set of coordinates into the Profit equation to determine which set yields the greatest profit.

Philip P.

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02/11/17

Don L.

02/11/17