5)

A manufacturer has been selling 1750 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week. a) Find the demand function p(m), where a: is the number of the television sets sold per week. M) = :J b) How large rebate should the company offer to a buyer, in order to maximize its revenue? 5 c) If the weekly cost function is 131250 + 1503:, how should it set the size of the rebate to maximize its profit? S 'For the given cost function C(m) = 48400 + 5003 + :32 find: a) The cost at the production level 1550 i: b) The average cost at the production level 1550' I c) The marginal cost at the production level 1550 I: d) The production level that will minimize the average cost I:] e) The minimal average cost :] n Express the limit lim (2 cos (27Ta* ) + 8) Ax; over [5, 6] as an integral. i=1 b Provide a, b and f(x) in the expression f(x) dx. a a = f(a) ='If [:21me = f : New + [812mm f_:f(:c)da:, what are the bounds of integration for the first integral? Find the exact average value fave of f(a:) = 25 m2 between 0 and 5, then find an exact number 0 in [0:5] Where f(c) = fave- 62