Answer:
Step-by-step explanation:
A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:
x ≥ 2y . . . . . pumpkin acres are at least twice corn acres
x - y ≤ 10 . . . . the difference in acreage will not exceed 10
12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18
0 ≤ y . . . . . the number of corn acres is non-negative
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B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...
P = 360x +225y
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C) see below for a graph
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D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.
So profit is maximized for 18 acres of pumpkins and 9 acres of corn.
Maximum profit is $360·18 +$225·9 = $8505.
Answer:
35%
Step-by-step explanation:
% of guests who attended the wedding is number of guests who attended the wedding divided by the number of invited guests and the result multiplied by 100%
Therefore
28/80 x 100%
0.35 x 100%
35%
35% of the invited guests attended the wedding
Answer:
1.584
Step-by-step explanation:
1.584 = 3.96 × 0.4
Number of visits can be only a whole number, the solution should be 9 visits
To make the equation easier so that you don't have to use fractions.