Question

The Camera Shop sells two popular models of digital SLR cameras (Camera A Price: 220, Camera B Price: 300). The sales of these products are not independent of each other, but rather if the price of one increase, the sales of the other will increase. In economics, these two camera models are called substitutable products. The store wishes to establish a pricing policy to maximize revenue from these products. A study of price and sales data shows the following relationships between the quantity sold (N) and prices (P) of each model:

   N_A = 195 - 0.5P_A + 0.25P_B

   N_B = 301 + 0.07P_A - 0.5P_B

Construct a model for the total revenue and implement it on a spreadsheet. Develop a two-way data table to estimate the optimal prices for each product in order to maximize the total revenue. Vary each price from $250 to $500 in increments of $10.

Max profit occurs at Camera A price of $ .

Max profit occurs at Camera B price of $ .

Answer 1

Answer:-

Given That:-

The Camera Shop sells two popular models of digital SLR cameras (Camera A Price: 220, Camera B Price: 300). The sales of these products are not independent of each other, but rather if the price of one increase, the sales of the other will increase. In economics, these two camera models are called substitutable products. The store wishes to establish a pricing policy to maximize revenue from these products.

A study of price and sales data shows the following relationships between the quantity sold (N) and prices (P) of each model:

   NA = 195 - 0.5PA + 0.25PB

  NB = 301 + 0.07PA - 0.5PB

Putting above Condition on spread sheet.

Max profit occurs at Camera A price of $ 320

Max profit occurs at Camera B price of $ 400

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