The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) on advertising is shown below.

P = − 1/10 s^3 + 15s^2 + 400

(a) Find the amount of money the company should spend on advertising in order to yield a maximum profit. s = thousands of dollars

(b) The point of diminishing returns is the point at which the rate of growth of the profit function begins to decline. Find the point of diminishing returns. s = thousands of dollars

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

Post test question number 9 for entering the job market

What is marketing’s contribution to the new product development team? a. technical expertise needed to translate designs into an actual product/service. b. deep customer insight that leads to product ideas. c. ability to assess financial viability d. feedback on design as well as how customers will actually use the product e. technical expertise needed to translate concepts into product/service designs.