A company finds that the rate at which the quantity of a product that consumers demand changes with respect to price is given by the marginal-demand function 5000 D'(X) = - where x is the price per unit, in dollars. Find the demand function if it is known that 1003 units of the product are demanded by consumers when the price is $5 per unit. D(X) =Approximate the area under the graph of f(x) = 0.05x" - 3.61x +96 over the interval [4,12] by dividing the interval into 4 subintervals. Use the left endpoint of each subinterval. Si The area under the graph of f(x) = 0.05x - 3.61x + 96 over the interval [4,12] is approximately (Simplify your answer. Type an integer or a decimal.) n tsA company determined that the marginal cost; C'(x) of producing the xth unit of a product is given by C'(x) = x - 4x. Find the total cost function C, assuming that C(x) is in dollars and that fixed costs are $5000. C(x ) =