A farmer has a field of 70 acres in which he plants potatoes and corn. The seed for potatoes costs $20/acre, the seed for corn c
osts $60/acre, and the farmer has set aside $3000 to spend on seed. The profit per acre of potatoes is $150 and the profit for corn is $50 an acre. How many acres of each should the farmer plant?
1 answer:
A farmer has a field of 70 acres in which he plants potatoes and corn. The seed for potatoes costs $20/acre, the seed for corn costs $60/acre, and the farmer has set aside $3000 to spend on seed. The profit per acre of potatoes is $150 and the profit for corn is $50 an acre. How many acres of each should the farmer plant?
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Answer:
Step-by-step explanation:
The volume of a cylinder, is given by the formula,
Where, is the radius and
is the height of the cylinder.
Here, ,
. Plug in these values and solve for radius,
.
This gives,
Taking square root both sides, we get
Therefore, the radius of the cylinder can be expressed as .