The number of dinners expected to sell per week to each, Eat-in and take-out, customers to maximize the weekly profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $ 3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C = 500 + 1.2 x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x = 6000 − 1000 p x , Take-out: y = 10 , 000 − 2000 p y where x is the number of eat-in dinners, with p x as the price of each, and y is the number of take-out dinners, with p y as the price of each.

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Answer 1

Question

Chapter 14.4, Problem 31E

(a)

To determine

To calculate: The number of dinners expected to sell per week to each, Eat-in and take-out, customers to maximize the weekly profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

(b)

To determine

To calculate: The prices Sea Islands should charge each market segment to maximize the total weekly profit and the maximum profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

(c)

To determine

Whether it would be more profitable for Sea Islands to continue charging $3.25 per dinner (and sell 6250 dinners per week) or to change the policy and to price differently for each type of customer. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sell 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

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Answer 2

Question

Chapter 14.4, Problem 31E

(a)

To determine

To calculate: The number of dinners expected to sell per week to each, Eat-in and take-out, customers to maximize the weekly profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

(b)

To determine

To calculate: The prices Sea Islands should charge each market segment to maximize the total weekly profit and the maximum profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

(c)

To determine

Whether it would be more profitable for Sea Islands to continue charging $3.25 per dinner (and sell 6250 dinners per week) or to change the policy and to price differently for each type of customer. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sell 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

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Answer 3

Question

Chapter 14.4, Problem 31E

(a)

To determine

To calculate: The number of dinners expected to sell per week to each, Eat-in and take-out, customers to maximize the weekly profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

(b)

To determine

To calculate: The prices Sea Islands should charge each market segment to maximize the total weekly profit and the maximum profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

(c)

To determine

Whether it would be more profitable for Sea Islands to continue charging $3.25 per dinner (and sell 6250 dinners per week) or to change the policy and to price differently for each type of customer. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sell 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

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Answer 4

Question

Chapter 14.4, Problem 31E

(a)

To determine

To calculate: The number of dinners expected to sell per week to each, Eat-in and take-out, customers to maximize the weekly profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

(b)

To determine

To calculate: The prices Sea Islands should charge each market segment to maximize the total weekly profit and the maximum profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

(c)

To determine

Whether it would be more profitable for Sea Islands to continue charging $3.25 per dinner (and sell 6250 dinners per week) or to change the policy and to price differently for each type of customer. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sell 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

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Answer 5

Chapter 14.4, Problem 31E

(a)

To determine

To calculate: The number of dinners expected to sell per week to each, Eat-in and take-out, customers to maximize the weekly profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

(b)

To determine

To calculate: The prices Sea Islands should charge each market segment to maximize the total weekly profit and the maximum profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

(c)

To determine

Whether it would be more profitable for Sea Islands to continue charging $3.25 per dinner (and sell 6250 dinners per week) or to change the policy and to price differently for each type of customer. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sell 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

Answer 6

Chapter 14.4, Problem 31E

(a)

To determine

To calculate: The number of dinners expected to sell per week to each, Eat-in and take-out, customers to maximize the weekly profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

Answer 7

Chapter 14.4, Problem 31E

(a)

To determine

To calculate: The number of dinners expected to sell per week to each, Eat-in and take-out, customers to maximize the weekly profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

Answer 8

(b)

To determine

To calculate: The prices Sea Islands should charge each market segment to maximize the total weekly profit and the maximum profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

Answer 9

(b)

To determine

To calculate: The prices Sea Islands should charge each market segment to maximize the total weekly profit and the maximum profit. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sells 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

Answer 10

(c)

To determine

Whether it would be more profitable for Sea Islands to continue charging $3.25 per dinner (and sell 6250 dinners per week) or to change the policy and to price differently for each type of customer. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sell 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

Answer 11

(c)

To determine

Whether it would be more profitable for Sea Islands to continue charging $3.25 per dinner (and sell 6250 dinners per week) or to change the policy and to price differently for each type of customer. Sea Islands offers both Eat-in and Take-out chicken dinners at $3.25 each. They sell 6250 dinners per week and has short-run weekly costs (in dollars) given by C=500+1.2x where x is the total number of eat-in and take-out chicken dinners. The demand estimates for each of the two market segments are: Eat-in: x=6000−1000px, Take-out: y=10,000−2000py where x is the number of eat-in dinners, with px as the price of each, and y is the number of take-out dinners, with py as the price of each.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 14.1 - CHECKPOINT 1. Find the domain of the function Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

Solution Summary: The author calculates the number of dinners sold per week to each type of customers, Eat-in and Take-out, to maximize the weekly profit.

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