Mountain-bike manufactures locate near a transportation hub. Each manufacturer needs 2 hectares of land to set up a one-story factory. They all manufacture 10 bikes per day, which they can sell for $200 each. Each bike costs $160 in non-land costs to produce. Each manufacturer must pay a cost of $5 per bike per mile to transport bikes to the transportation hub. Once the bikes arrive at the hub, they can be transported anywhere at no cost.
(a) Fill in the following chart that expresses each manufacturer’s bid for land rent (per hectare) as a function of distance from the transportation hub:
Distance |
Total Revenue |
Non-Land Costs |
Freight Costs |
Total Costs |
WTP* for land |
Production Site Size (Hectares) |
Bid Rent (per hectare) |
0 |
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1 |
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2 |
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3 |
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4 |
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5 |
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6 |
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7 |
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8 |
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Total Revenue ($200*10) |
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WTP* for land (total reveue-total cost) |
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0 | 2000 | 1600 | 0 | 1600 | 400 | 2 | 200 | |||||||||||||||||||||||||||
1 | 2000 | 1600 | 5 | 1605 | 395 | 2 | 197.5 | |||||||||||||||||||||||||||
2 | 2000 | 1600 | 10 | 1610 | 390 | 2 | 195 | |||||||||||||||||||||||||||
3 | 2000 | 1600 | 15 | 1615 | 385 | 2 | 192.5 | |||||||||||||||||||||||||||
4 | 2000 | 1600 | 20 | 1620 | 380 | 2 | 190 | |||||||||||||||||||||||||||
5 | 2000 | 1600 | 25 | 1625 | 375 | 2 | 187.5 | |||||||||||||||||||||||||||
6 | 2000 | 1600 | 30 | 1630 | 370 | 2 | 185 | |||||||||||||||||||||||||||
7 | 2000 | 1600 | 35 | 1635 | 365 | 2 | 182.5 | |||||||||||||||||||||||||||
8 | 2000 | 1600 | 40 | 1640 | 360 | 2 | 180 |
Bid rent means how the price and demand for the land changes fas the distance changes from the site of production.it represents how much is the producer willing to pay.
willing to pay (WTP) is at max the profit incurred from the business (TR-TC).
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