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1:20 1 73% D mylab.pearson.com/Stu 8 ... MATH.1220-082 online spring 2023 Sonal Rana 04/11/23 1:20 PM ? Homework: MLM #6 Question 6, 3.6.26-BE HW Score: 24%, 24 of 100 Part 1 of 10 points Points: 0 of 5 Save Question list View an example | All parts showing duction and sale of x X Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale Question 1 of x items. If R(x) = 9x and C(x) = 0.006x + 3.3x + 80, find each of the following. a) P(x ) b) R(150), C(150), and P(150) Question 2 c) R'(x), C'(x), and P'(x) d) R'(150), C'(150), and P'(150) Question 3 a) Profit is equal to revenue minus cost. P(x) = R(x) - C(x) Question 4 To find P(x), subtract the cost function, C(x), from the revenue function, R(x). P(x) = R(x) - C(X) Question 5 = 9x - (0.006x2+ 3.3x + 80) = - 0.006x2+ 5.7x - 80 Question 6 b) To find R(150), evaluate R(x) = 9x for x = 150. R(150) = 9 . 150 = $1350.00 Question 7 To find C(150), evaluate C(x) = 0.006x- + 3.3x + 80 for x = 150. C(150) = 0.006 . 150% + 3.3 . 150 + 80 = $710.00 O Question 8 To find P(150), evaluate P(x) = - 0.006x + 5.7x - 80 for x = 150. P(150) = - 0.006 . 1502 + 5.7 . 150 - 80 = $640.00 O Question 9 c) Use the power rule to differentiate R(x) = 9x. R' (x ) = 9 O Question 10 Use the power rule to differentiate C(x) = 0.006x+ 3.3x + 80. C'(x) = 0.012x + 3.3 Question 11 Use the power rule to differentiate P(x) = - 0.006x2 + 5.7x - 80. P'(x) = - 0.012x +5.7 O Question 12 d) To find R'(150), evaluate R'(x) = 9 for x = 150. R'(150) = $9.00 per item O Question 13 To find C'(150), evaluate C'(x) = 0.012x + 3.3 for x = 150. C'(150) = 0.012 . 150 + 3.3 = $5.10 per item O Question 14 To find P'(150), evaluate P'(x) = - 0.012x + 5.7 for x = 150. P'(150) = - 0.012 . 150 + 5.7 = $3.90 per item Question 15 Question 16 Question 17 Question 18 Question 19 Print Close Help me solve this View an example Get more help - Clear all Check answer6 Part 1 of 10 points O Points: 0 of 5 Save Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, m the production and sale of x K items. If R(x) = 5x and C(x) = 0.001x + 1.6x + 70, find each of the following. a) P(x) b) R(100), C(100), and P(100) c) R'(x). C'(x), and P'(x) d) R'(100), C'(100), and P'(100)