A college received 90% of its order of laptop keyboards from a vendor.
1 answer:
Answer:
170
Step-by-step explanation:
Given that: x represents total number of keyboards ordered
y represents number of non-defective keyboards
And;
y = 0.9x - .......................... 1
If the college ordered 200 keyboards, then x = 200. So that substituting the value of x in equation 1, we have;
y = (0.9 x 200) -
= 180 -
= 180 - 10
y = 170
The college received 170 non-defective keyboards.
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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.
