cetk Wit oetre the varable a to tepiesent the number of 516 discount that axe oftered. We wit atow a to be any real nunber incoding decional vaves. Find the functon p(a) whith aves the price ef a teevsion 17 dotars; white a is the nurber of discounts: (a)= b) Fing the tunction q(a) weich gives the quartity of telensions sold (The weetoy demand) whece a o the number of discounts 2(a) F(a)= The valies de a te muconze weetly ievenuc is d= (e) Use your arcwess above to complete the tobowing sentences. Rouind each answer to the neacest whole sollif the new price wa bes 3 Which wi generate a wech terenue of 5 Cound your arswer The value of a to manimed neithy prosina = (a) Uso your answes dowe to compece the fretoserg seriences Roind eath answes bo the rearest wfode dotar The new ance will be 3 Weich wit generate a weekily grost of 5 i manufacturer has been selling 1300 QLED televisions a week at $540 each. A market survey indicates that for each $16 discount offered to a suyer, the total number sold will increase by 160 TVs per week: We will define the variable a to represent the number of $16 discounts that are offered. We will allow a to be any real number, including decimal values, (a) Find the function p(a) which gives the price of a television in dollars, where a is the number of discounts. p(a)= (b) Find the function q(a) which gives the quantity of televisions sold (the weekly demand), where a is the number of discounts. q(a)= (c) Find the total revenue function R(a) which gives the weekly revenue in dollars, where a is the number of discounts. R(a)= (d) Find the value of a that will maximize the weekly revenue function R(a). Do not round your answer. The value of a to maximize weekly revenue is a= (e) Use your answers above to complete the following sentences. Round each answer to the nearest whole dollar. In order to maximize weekly revenue from the sale of QLED televisions, the manufacturer should discount the current price by a total of $ The new price will be $ . Which will generate a weekly revenue of \$ (7) Stul using the a variable defined above, now suppose the weekly cost in dollars is given by the function C(a)=351000+28800a. Determine the value of a that will maximize the weekly proff. Do not round your answer. The value of a to maximize weekly profit is a= (0) Use your answers above to complete the following sentences. Round each answer to the nearest whole dollar. In order to maximize weekly profit from the sale of QLED televisions, the manutacturef athould discount the current price by a total of 5 The new price wili be $ cetk Wit oetre the varable a to tepiesent the number of 516 discount that axe oftered. We wit atow a to be any real nunber incoding decional vaves. Find the functon p(a) whith aves the price ef a teevsion 17 dotars; white a is the nurber of discounts: (a)= b) Fing the tunction q(a) weich gives the quartity of telensions sold (The weetoy demand) whece a o the number of discounts 2(a) F(a)= The valies de a te muconze weetly ievenuc is d= (e) Use your arcwess above to complete the tobowing sentences. Rouind each answer to the neacest whole sollif the new price wa bes 3 Which wi generate a wech terenue of 5 Cound your arswer The value of a to manimed neithy prosina = (a) Uso your answes dowe to compece the fretoserg seriences Roind eath answes bo the rearest wfode dotar The new ance will be 3 Weich wit generate a weekily grost of 5 i manufacturer has been selling 1300 QLED televisions a week at $540 each. A market survey indicates that for each $16 discount offered to a suyer, the total number sold will increase by 160 TVs per week: We will define the variable a to represent the number of $16 discounts that are offered. We will allow a to be any real number, including decimal values, (a) Find the function p(a) which gives the price of a television in dollars, where a is the number of discounts. p(a)= (b) Find the function q(a) which gives the quantity of televisions sold (the weekly demand), where a is the number of discounts. q(a)= (c) Find the total revenue function R(a) which gives the weekly revenue in dollars, where a is the number of discounts. R(a)= (d) Find the value of a that will maximize the weekly revenue function R(a). Do not round your answer. The value of a to maximize weekly revenue is a= (e) Use your answers above to complete the following sentences. Round each answer to the nearest whole dollar. In order to maximize weekly revenue from the sale of QLED televisions, the manufacturer should discount the current price by a total of $ The new price will be $ . Which will generate a weekly revenue of \$ (7) Stul using the a variable defined above, now suppose the weekly cost in dollars is given by the function C(a)=351000+28800a. Determine the value of a that will maximize the weekly proff. Do not round your answer. The value of a to maximize weekly profit is a= (0) Use your answers above to complete the following sentences. Round each answer to the nearest whole dollar. In order to maximize weekly profit from the sale of QLED televisions, the manutacturef athould discount the current price by a total of 5 The new price wili be $