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Beth's Lawn Mowing Service is a small business that acts like a price taker. The prevailing market price of lawn mowing is $20 per acre.

Beth's Lawn Mowing Service is a small business that acts like a price taker. The prevailing market price of lawn mowing is $20 per acre. When Beth was using the family mower for free, she has other costs each week are given by:

  • Total Cost = 0.1q2 + 10q + 50
  • Marginal Cost = 0.2q + 10

Where q = the number of acres Beth chooses to mow in a week. Now assume that in addition to the above costs, Beth must pay her greedy Dad $100 per week to use the family mower. Find the profit maximizing number of lawns to cut in the short-run given that her Dad is now charging her $100 per week to use the family mower.

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