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 24 contracts. This is down 3contracts 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 fee p Montevideo charges for development. q(p) =     (b) On average, Montevideo bills for 50 hours of production time on each contract. Give a formula for the total revenue obtained by charging $p 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 q of contracts. C(q) =     Express Montevideo Productions' monthly cost as a function of the hourly production charge p. C(p) =     (d) Express Montevideo Productions' monthly profit as a function of the hourly development fee p. P(p) =     Find the price it should charge to maximize the profit. p = $ per hour

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 $2,900. With this pricing structure, the demand, measured by the number of contracts Montevideo signs per month, is 21 contracts. This is down 6 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 fee p Montevideo charges for development. q(p) = (b) On average, Montevideo bills for 40 hours of production time on each contract. Give a formula for the total revenue obtained by charging $p per hour. R(p) = (c) The costs to Montevideo Productions are estimated as follows. Fixed costs: $140,000 per month Variable costs: $60,000 per contract Express Montevideo Productions' monthly cost as a function of the number q of contracts. C(q) = =…

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 $2,900. With this pricing structure, the demand, measured by the number of contracts Montevideo signs per month, is 21 contracts. This is down 6 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 fee p Montevideo charges for development. q(p) = -0.01p+ 50 (b) On average, Montevideo bills for 40 hours of production time on each contract. Give a formula for the total revenue obtained by charging $p per hour. R(p): -0.4p² + 2000p (c) The costs to Montevideo Productions are estimated as follows. Fixed costs: $140,000 per month Variable costs: $60,000 per contract Express Montevideo Productions' monthly cost as a function of the number q…

A company uses 5000 items per annum which has a price of $2 each. The ordering costs are $150 per order and holding costs are $1.50 per item per annum. The company is offered a 5% discount (discounted price is $1.90) for orders of 5000 and over. Order cost and holding cost remain at $150 per order and $1.50 respectively. Assuming that the company orders 5000 items per order, calculate the number of orders per annum, average stock, annual stock holding cost, annual order cost, annual inventory cost and the total annual cost of items and inventory.