Question

Farmer Bill plants wheat and soybeans. He has 300 acres to plant. Each acre of wheat costs $275 to plant, maintain, & harvest, while each acre of soybeans costs $140. Bill has $60,000 to cover his costs. Each acre of wheat will yield 120 bushels of wheat which will sell for $3.00 per bushel. Each acre of soybeans will yield 30 bushels of soybeans which will sell for $6.00 per bushel. After harvest, Bill must store the crops for several months. His storage facility has a maximum capacity of 24,000 bushels. Bill wants to know how many acres of each crop he should plant in order to make the maximum his profit. Which of the following is a constraint for this problem? Maximize the storage limit 120W + 30S = 24,000 85W + 40S = 24,000 Maximize 3W + 6S Both b and c above None of the above

          Farmer Bill plants wheat and soybeans. He has 300 acres to plant. Each acre of wheat costs $275 to
plant, maintain, & harvest, while each acre of soybeans costs $140. Bill has $60,000 to cover his
costs. Each acre of wheat will yield 120 bushels of wheat which will sell for $3.00 per bushel. Each
acre of soybeans will yield 30 bushels of soybeans which will sell for $6.00 per bushel. After harvest,
Bill must store the crops for several months. His storage facility has a maximum capacity of 24,000
bushels. Bill wants to know how many acres of each crop he should plant in order to make the
maximum his profit. Which of the following is a constraint for this problem?
Maximize the storage limit
120W + 30S = 24,000
85W + 40S = 24,000
Maximize 3W + 6S
Both b and c above
None of the above

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Farmer Bill plants wheat and soybeans. He has 300 acres to plant. Each acre of wheat costs 275 to
plant, maintain, harvest, while each acre of soybeans costs140. Bill has 60,000 to cover his
costs. Each acre of wheat will yield 120 bushels of wheat which will sell for3.00 per bushel. Each
acre of soybeans will yield 30 bushels of soybeans which will sell for 6.00 per bushel. After harvest,
Bill must store the crops for several months. His storage facility has a maximum capacity of 24,000
bushels. Bill wants to know how many acres of each crop he should plant in order to make the
maximum his profit. Which of the following is a constraint for this problem?
Maximize the storage limit
120W + 30S = 24,000
85W + 40S = 24,000
Maximize 3W + 6S
Both b and c above
None of the above

Added by Angel S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Madhur L

08/09/2023

Step 1

Bill has 300 acres to plant, so the total acres of wheat (W) and soybeans (S) cannot exceed 300: \(W + S \le 300\) Show more…

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Farmer Bill plants wheat and soybeans. He has 300 acres to plant. Each acre of wheat costs $275 to plant, maintain, & harvest, while each acre of soybeans costs $140. Bill has $60,000 to cover his costs. Each acre of wheat will yield 120 bushels of wheat which will sell for $3.00 per bushel. Each acre of soybeans will yield 30 bushels of soybeans which will sell for $6.00 per bushel. After harvest, Bill must store the crops for several months. His storage facility has a maximum capacity of 24,000 bushels. Bill wants to know how many acres of each crop he should plant in order to make the maximum his profit. Which of the following is a constraint for this problem? Maximize the storage limit 120W + 30S = 24,000 85W + 40S = 24,000 Maximize 3W + 6S Both b and c above None of the above

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Transcript

00:01 Hello student, the farmer will plant wheat and the soybean.

00:04 They plant the pro -type of the yields wheat and the soybean.

00:13 He has 300 acres to plant then total 300 acres then here is a one wheat plus one and is equals to 300 acres.

00:25 Each acre of the wheat cost the dollar of 275 to plant maintain and the harvest.

00:35 Then cost required for the plant maintaining harvesting is dollar of 275 for the wheat and the dollar of 140 for the soybean and bill has in the dollar of 60 ,000 less than or equals to 60 ,000 to cover his cost.

01:00 Each acre of the wheat yield now yield 120 blue shish of the wheat which will be the sale for the dollar of three.

01:12 Then here is a 120 and each acre of the soybean will yield the 30 blue shish of soybean which will sell for the dollar of six per blue shish.

01:25 After harvest bill must store the crop of the several month and his storage capacity is maximum capacity is 24 ,000 blue shish.

01:35 Here is a 24 ,000.

01:38 Bill wants to know how many acres of the each crop he should plant in the order to make the maximum its profit and the maximize function here is dollar of three per blue shish and here is a dollar of six again per blue shish blue shell and we have to there are the different options we have to find which is the following constraint of this problem.

02:12 The first option is maximize the storage limit.

02:15 This is not a constraint.

02:17 This is our objective function.

02:21 This is our objective function and that is not our constraint.

02:27 Next is the 120 w plus 30 s equals to 2 ,000 for 24 ,000...

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