Problema Solution
C(x)+55x+85,850
R(x)=225x
the cost and revenue unctions for producing and selling x units of a product are given. Cost and revenue are expressed in dollars.
a. Find the number of units that must be produced and sold to break even. At this level, what is the dollar amount coming in and going out?
b Write the profit function for producing and selling x units of the product
Answer provided by our tutors
C(x) = 55x+85,850
R(x) = 225x
a. Find the number of units that must be produced and sold to break even. At this level, what is the dollar amount coming in and going out?
C(x) = R(x)
55x+85,850 = 225x
by solving we find
x = 505
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C(505) = R(505) = 225*505 = $113,625 is the amount coming in and going out.
b. Write the profit function for producing and selling x units of the product
P(x) = R(x) - C(x)
P(x) = 225x - 55x - 85,850
P(x) = 170x - 85,850