MyMathLab Homework D Do HomeworkMatthew 9 Chegg Study I Guid

MyMathLab Homework- D Do Homework-Matthew 9 Chegg Study I Guided So × × https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkld-365623097&questionId;=1&flushed-false;&clda; - Matthew Kiral 6/17/16 10:35 PM Save > MyMathLab® Homework: Chapter 2 Real World Problems Score: 0 of 5 pts 6 of 10 (1 complete) HW Score: 10%, 5 of 50 pts Bus Econ 2.5.113 Question Help The amount of money that customers deposit in a bank in savings accounts is directly proportional to the interest rate that the bank pays on that money. Suppose that a bank was able to turn around and oan out all the money deposited in its savings accounts at an interest rate of 15%. What interest rate should pay on its savings accounts oder to maximize profit ? The bank should pay 1% on its savings accounts. All parts showing Clear All Check Answer 10:35 PM l6/17/2016

Solution

(b) R(100 )= 8*100 = 800, C(100) = 0.004*(100)² + 2.3*100+ 70 = 40 + 230 +70 = 340. P (100) = R(100)- C(100) = 800 – 340 = 460.

(c) R’(x) = dR/dx = 8, C’(x) = dC/dx = 0.004(2x) + 2.3 = 0.008x + 2.3 and P’(x) = dP/dx = -0.004(2x) + 5.7 = 5.7 – 0.008x.

(d) R’(100) = 8 ( there is no variable in R’(x)) , C’(100) = 0.008*100 + 2.3 = 0.8 + 2.3 = 3.1 and P’(100) = 5.7- 0.008*100 = 5.7 – 0.8 = 4.9