MyMathlab Homework- P Do Homework-Matthew 9 Algebra question l Chegg × × > https

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MyMathlab Homework- P Do Homework-Matthew 9 Algebra question l Chegg × × > https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld-365623097&questionId;=1&flushed-false;&clda; - MyMathLab Matthew Kiral 6/17/16 10:33 PM Homework: Chapter 2 Real World Problems Save Score: 0 of 5 pts 4 of 10 (1 complete) HW Score: 10%, 5 of 50 pts Bus Econ 2.4.103 Question Help The total-cost, C(x), and total-revenue, R(x), functions for producing x items are shown below, where 0sxs900 C(x) = 4800 + 300x and R(x) =--x2 + 1 100x a) Find the total-profit function P(x). b) Find the number of items, x, for which the total profit is a maximum. a) P(x) = Enter your answer in the answer box and then click Check Answer. Clear All Check Answer remaining 10:33 PM 6/17/2016

Explanation / Answer

C(x) = 4800 +300x ; R(x) = -x^2/2 +1100x

a) Proit = Total revenue - total cost

=R(x) - C(x) = 4800 +300x +x^2/2 -1100x

= x^2 /2 - 900x +4800

b) Maximum profit occurs at vertex of quadratice function :

For a quadratic function : ax^2 +bx +c =0 ;

Vertex is given by x = -b/2a

a = 1/2 ; b = -900

x = -(-900)/2*1/2 = 900 items

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