The rationality to increase the delivery area by one mile and whether it would affect profitability.

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QUESTION 1 Demand equation for a product is P = 100 – 0.01Q and the total cost is TC = 50Q + 10000 - (a). Write down the equation for the total revenue. (b). Write down the equation for the profit. (c). Find the value of Q when the firm breaks even. (d). Determine the maximum profit and the value of output (Q) at which profit is maximum.

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Question

Chapter 1, Problem 4P

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The rationality to increase the delivery area by one mile and whether it would affect profitability.

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QUESTION 1 Demand equation for a product is P = 100 – 0.01Q and the total cost is TC = 50Q + 10000 - (a). Write down the equation for the total revenue. (b). Write down the equation for the profit. (c). Find the value of Q when the firm breaks even. (d). Determine the maximum profit and the value of output (Q) at which profit is maximum.

A. At XYZ Restaurant, which sells only pepperoni pizza, has the cost profile: [Note that variable costs are per pizza] Fixed Costs Variable Costs General $1,500 Flour $0.50 Labor Rent $3,000 Yeast s0.05 Insurance $200 Water $0.01 Advertising $500 Cheese $3.00 $450 Pepperoni $2.00 Utitilies Total $5,650 Total $5.56 Based on the total variable expenses per pizza, we now know that XYZ Restaurant must price its pizzas at $5.56 ($0.50 + $0.05 + $0.01 + $3.00 + $2.00) or higher just to cover those costs. We also know that if the pizzeria charges $10 for the finished product, then it receives $4.44 per pizza to contribute to the fixed costs and ultimately the restaurants overall profits. Question: How many pizzas does XYZ Restaurant need to sell at $10 each to cover all those fixed monthly expenses?

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