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:
Tell me the expression so I can answer the question!
Step-by-step explanation:
The balance B at the end of time t is given by
B = P +Prt
8250 = 6000 +6000*r*12.5 . . . . substitute the given information
2250 = 6000*r*12.5 . . . . . . . . . . .subtract 6000
2250/(6000*12.5) = r . . . . . . . . . .divide by the coefficient of r
r = .03 = 3%
Clint earned 3% annual simple interest on his savings.
<span>The probability that a point is chosen at random in the given figure is 40/49 or .82. The answer to the following statement or the missing blank is 40/49. The probability is the possibility of the occurrence or happening of something.</span>
Answer:
the answer is 22 hope this helps
Step-by-step explanation:
7(-7)= -49
-49+149=100
100-56=44
44/2=22