Question
A company manufactures microchips. Use the revenue function R(x)=x(755x)and the cost function C(x)=124+13xto answer parts (A) through (D), where x is in millions of chips
A company manufactures microchips. Use the revenue function R(x)=x(755x)and the cost function
C(x)=124+13xto answer parts (A) through (D), where x is in millions of chips and R(x) and C(x) are in millions of dollars. Both functions have domain 1x20.
A.Form a profit function P, and graph R, C, and P in the same rectangular coordinate system.
B. Discuss the relationship between the intersection points of the graphs of R and C and the x-intercepts of P.
C. Find the x-intercepts of P to the nearest thousand chips. Find the break-even points to the nearest thousand chips.
D. Find the value of x (to the nearest thousand chips) that produces the maximum profit. Find the maximum profit (to the nearest thousand dollars), and compare it to the maximum revenue.
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