SOLUTION: How to solve this problem:
The price p of a certain product and the quantity sold x obey the demand equation p = -2/3x + 200 where x is greater than or equal to 0 and less than
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The price p of a certain product and the quantity sold x obey the demand equation p = -2/3x + 200 where x is greater than or equal to 0 and less than
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Question 1128754: How to solve this problem:
The price p of a certain product and the quantity sold x obey the demand equation p = -2/3x + 200 where x is greater than or equal to 0 and less than or equal to 300. Suppose that the cost C of producing x units is C = sqrt(x) / 20 + 800.
Assuming that all items produced are sold, find the cost C as a function of the price p. Simply your answer. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The price p of a certain product and the quantity sold x obey the demand equation
p = x + 200 where x is greater than or equal to 0 and less than or equal to 300.
Suppose that the cost C of producing x units is C = + 800.
Assuming that all items produced are sold, find the cost C as a function of the price p.
Simplify your answer.
:
solve for x x + 200 = p
multiply by 3
-2x + 600 = 3p
-2x = 3p - 600
multiply by -1
2x = -3p + 600
divide by 2
x = p + 300
we can write it
x = -1.5p + 300
:
C = + 800
replace x with (-1.5p+300)
C =
