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Pinapple Inc. is deciding how to price its two lines of laptops, one of which is a light one for travel (which is called Light) and the other is a powerful one (called Power). These products are substitutes (consumers pick between them depending on prices). Based on the data points below, estimate a linear joint demand curve - that is, a demand curve for each product that is linear in each price:
Demand_Power = A_1 + B_1*Price_Power + C_1*Price_Light
Demand_Light = A_2 + B_2*Price_Power + C_2*Price_Light
Price of
Power
Light
Demand of
(in thousands)
1000
15166
7311
1500
12266
7387
2000
10875
7499
10222
5992
2500
7771
6398
3000
4410
6210
5320
4431
Use your estimated demand curve to recommend prices for the two products to the CEO of Pinapple Inc. The cost of manufacturing a Light computer is $770 and the cost of manufacturing a Power computer is $930. Make sure the prices you recommend are within the ranges tested ($1000 to $3000 for the Power and $1000 to $2000 for the Light). You should also include in your report a comparison of the profit margins of the two products.
Refer to Figure, using the Mason's gain formula, determine the transfer function of the system.
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