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A certain farmer planted x acres of corn at a cost of p doll
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26 Apr 2019, 10:41
26 Apr 2019, 10:41
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A certain farmer planted x acres of corn at a cost of p dollars per acre. If y acres were destroyed by locusts and the farmer sold the rest of the crop for q dollars per acre, which of the following represents the farmer's gross profit on the sale of the corn?
A. (x - y)q - xp
B. (x - y)p - yq
C. (q - p)y - xp
D. xp - yq
E. (x - y)(q - p)
A. (x - y)q - xp
B. (x - y)p - yq
C. (q - p)y - xp
D. xp - yq
E. (x - y)(q - p)
Re: A certain farmer planted x acres of corn at a cost of p doll
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27 Apr 2019, 06:49
27 Apr 2019, 06:49
1
Given
Total acres: x
Cost per acre: p
Therefore, cost for x acres = xp
Now, out of x acres y acres were ruined by locusts, so remaining acres is (x-y)
Cost per acre for the remaining acres : q
Total cost : (x-y)*p
W.K.T,
Profit = Selling price- Cost price
= (x-y)*q - x*p
Hence, the right answer is option A
Total acres: x
Cost per acre: p
Therefore, cost for x acres = xp
Now, out of x acres y acres were ruined by locusts, so remaining acres is (x-y)
Cost per acre for the remaining acres : q
Total cost : (x-y)*p
W.K.T,
Profit = Selling price- Cost price
= (x-y)*q - x*p
Hence, the right answer is option A
Re: A certain farmer planted x acres of corn at a cost of p doll
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12 Jan 2022, 03:09
12 Jan 2022, 03:09
1
Considering the first sentence, we would note the total cost to be xp.
Going further, the total revenue will be the product of the price and the total amount of corn that got sold. To determine this correctly, the information on locusts must be accounted for. Essentially, while the farmer cultivated x acres, locust reduced the amount of acres he was able to harvest and then sell, so that total revenue is given by q(x-y), where q is the sale price and x-y is the total amount of sold corns.
The gross profit, which is the Total Revenue - Total Cost, is then given by
q(x - y) - xp, which is option A.
Notice how the answer choices also have the trap choice of (x-y)(q-p) in which the information on the locust is not accounted, thus making the choice to be wrong.
Posted from my mobile device
Going further, the total revenue will be the product of the price and the total amount of corn that got sold. To determine this correctly, the information on locusts must be accounted for. Essentially, while the farmer cultivated x acres, locust reduced the amount of acres he was able to harvest and then sell, so that total revenue is given by q(x-y), where q is the sale price and x-y is the total amount of sold corns.
The gross profit, which is the Total Revenue - Total Cost, is then given by
q(x - y) - xp, which is option A.
Notice how the answer choices also have the trap choice of (x-y)(q-p) in which the information on the locust is not accounted, thus making the choice to be wrong.
Posted from my mobile device
. I can't help but imagine how unmotivated my son will be when he learns that he would be useful if he became a farmer, for example. He likes playing this farming simulator game, but I doubt it's a good enough stimulant for him to start putting a lot of effort into his math homework. Like, when was the last time knowing how to determine the angles of a triangle helped you in life?
