Five men can install 200 yards of pipeline in an eight hour day three men are added to the job assuming the individuals rates re
1 answer:
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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:
0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.
Step-by-step explanation:
The following information is missing:
The standard deviation of population is 100.
We are given the following information in the question:
Population mean, μ = 502
Standard Deviation, σ = 100
Sample size, n = 90
Standard error =
Formula:
P(test score within 10 points)
0.658 is the probability that a sample 90 test takers will provide a sample mean test score within 10 points of the population mean of 502.