Amanufacturer has been selling 1000 flat-screen tvs a week at $350 each. a market survey indicates that for each $10 rebate offered to the buyer, the number of tvs sold will increase by 100 per week
(a) find the demand function (price p as a function of units sold x).
(b) how large a rebate should the company offer the buyer in order to maximize its revenue?
(c) if its weekly cost function is c(x) = 73,000 + 110x, how should the manufacturer set the size of the rebate in order to maximize its profit?

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry.how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.

Prove that 16^4-2^13-4^5 is divisible by 11.

Which of the following expressions cannot be simplified to x – 2?