The Camera Shop sells two popular models of digital single lens reflective (DSRL) cameras. The sales of these products are not independent; if the price of one increases, the sales of the other increases. 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 price (P) of each model. = NA 155-0.5PA +0.45PB NB 312 + 0.08PA-0.7PB (a) Construct a model for the total revenue and implement it on a spreadsheet. What is the profit (in dollars) predicted by your model when the price of model A is P = $250 and the price of model B is PB = $320. $ (b) 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. PA PB =

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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The Camera Shop sells two popular models of digital single lens reflective (DSRL) cameras. The sales of these products are not independent; if the price of one increases, the sales of the other increases. 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 price (P) of each model.
=
NA 155-0.5PA +0.45PB
NB 312 + 0.08PA-0.7PB
(a) Construct a model for the total revenue and implement it on a spreadsheet. What is the profit (in dollars) predicted by your model when the price of model A is P = $250 and the price of model B is PB = $320.
$
(b) 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.
PA
PB
=
Transcribed Image Text:The Camera Shop sells two popular models of digital single lens reflective (DSRL) cameras. The sales of these products are not independent; if the price of one increases, the sales of the other increases. 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 price (P) of each model. = NA 155-0.5PA +0.45PB NB 312 + 0.08PA-0.7PB (a) Construct a model for the total revenue and implement it on a spreadsheet. What is the profit (in dollars) predicted by your model when the price of model A is P = $250 and the price of model B is PB = $320. $ (b) 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. PA PB =
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