File Edit View History Bookmarks People window Help ons Quiz: C(100), and P(100)

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File Edit View History Bookmarks People window Help ons Quiz: C(100), and P(100) P 3 100) P pt and (x), (x) Quiz c (100) and This 1 c) PC1000 a) b) d) b) c(100) c) R R'(100), P(x) R(100), R(100) R Question: (x), (x s C s n Take a Test Garlyn Smith a secure 153074412&centerwin; yes www Survey of Calculus, Spring 2017 Time Remaining: 00:24:00 Submit Quiz 1 of 2 (0 complete) v This Quiz: 2 pts possible Let R(x), C(xp, and P(x) be, res the revenue, cost and proftin dolars, from the production and sale of items. Ro) 4x and cox-a003x.120 40, G each of the following. Enter your answer in each of the answer boxes.

Explanation / Answer

R(x) = 4x
C(x) = 0.003x2 + 1.2x + 40
P(x) = Profit = Revenue - Costs = 4x-(0.003x2 + 1.2x + 40) = -0.003x2+2.8x -40
Thus P(x) =  -0.003x2+2.8x -40
R(100) = 4*100 = 400
C(100) = 0.003*100*100 + 2.8*100-40 = 30+280-40 = 270
P(100) = 400-270 = 130

R'(x) = d(R(x))/ dx = d(4x)/dx = 4;
C'(x) = 2*0.003x+1.2 = 0.006x+1.2
P'(x) = -0.006x+2.8

R'(100) = 4;

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