Estimate a linear joint demand curve, Financial Accounting

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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

 

Price of

Light

 

Demand of

Power

(in thousands)

Demand of

Light

(in thousands)

1000

1000

15166

7311

1500

1000

12266

7387

2000

1000

10875

7499

2000

1500

10222

5992

2500

1500

7771

6398

3000

1500

4410

6210

3000

2000

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.


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