Television Advertising As Sales Manager for Montevideo Productions, Inc, you are planning to review the prices you charge clients for television advertisement development. You currently charge each client an hourly development fee of $2,600. With this pricing structure, the demand, measured by the number of contracts Montevideo signs per month, is 4 contracts. This is down 3 contracts from the figure last year, when your company charged only $2,300. (a) Construct a linear demand equation giving the number of contracts q as a function of the hourly feep Montevideo charges for development. 4(e)--0.01p+40 (b) On average, Montevideo bills for 40 hours of production contract. Give a formula for the total revenue obtained by changing to per hour R(P)- (c) The costs to Montevideo Productions are estimated as follows Fixed costs: $140,000 per month Variable costs: $70,000 per contract Express Montevideo Productions monthly cost as a function of the number of contracts. Cla) 140,000+70000 Express Montevideo Productions monthly cost as a function of the hourly production charge p x Clo)- 3640000-700p X (d) Express Montevideo Productions monthly profit as a function of the hourly development fee p M(O) = Find the price it should charge to maximize the profit (in dollars per hour). P - $3375 X per hour

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Solve. Name the strategy you used to solve each problem Nan helped her mother tile the floor. Her mother spent twice as much time working as did Nan. All together, they spent 24h working. How much time did each person work?