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Use the Case Below to Answer the Following Question(s)

Question 84

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Use the case below to answer the following question(s) .
The Tipton Hotel is considering a major remodeling effort and needs to determine the best combination of rates and suite sizes to maximize revenues.Currently,the hotel has 755 suites with the following history: Use the case below to answer the following question(s) . The Tipton Hotel is considering a major remodeling effort and needs to determine the best combination of rates and suite sizes to maximize revenues.Currently,the hotel has 755 suites with the following history:   Each market segment has its own price/demand elasticity.Estimates are:   This means,for example,that a 1% decrease in the price of a standard suite will increase the number of suites sold by 1.5%.Similarly,a 1% increase in the price will decrease the number of suites sold by 1.5%.For any pricing structure (in $) ,the projected number of suites of a given type sold (we will allow continuous values for this problem) can be found using the formula: (Historical average number of suites sold) + (Elasticity) (New price - Current price) (Historical average number of suites sold) /(Current price)  The hotel owners want to keep the price of a standard suite between $70 and $90; a gold suite between $90 and $110; and a platinum suite between $120 and $149. Define S = price of a standard suite,G = price of a gold suite,and P = price of a platinum suite. -Which of the following is the objective function? A) Maximize 875S<sup>2</sup> + 600G<sup>2</sup> + 255.7554P<sup>2</sup> - 6.176471S - 4.081633G - 1.079137P B) Maximize 875S + 600G + 300P - 6.176471S<sup>2</sup> - 4.081633G<sup>2</sup> - 1.079137P<sup>2</sup> C) Maximize -875S<sup>2</sup> - 600G<sup>2</sup> - 300P<sup>2</sup> + 6.176471S + 4.081633G + 1.079137P D) Maximize 600S + 255.7554G + 875P - 4.081633S<sup>2</sup> - 4.081633G<sup>2</sup> - 6.176471P<sup>2</sup> Each market segment has its own price/demand elasticity.Estimates are: Use the case below to answer the following question(s) . The Tipton Hotel is considering a major remodeling effort and needs to determine the best combination of rates and suite sizes to maximize revenues.Currently,the hotel has 755 suites with the following history:   Each market segment has its own price/demand elasticity.Estimates are:   This means,for example,that a 1% decrease in the price of a standard suite will increase the number of suites sold by 1.5%.Similarly,a 1% increase in the price will decrease the number of suites sold by 1.5%.For any pricing structure (in $) ,the projected number of suites of a given type sold (we will allow continuous values for this problem) can be found using the formula: (Historical average number of suites sold) + (Elasticity) (New price - Current price) (Historical average number of suites sold) /(Current price)  The hotel owners want to keep the price of a standard suite between $70 and $90; a gold suite between $90 and $110; and a platinum suite between $120 and $149. Define S = price of a standard suite,G = price of a gold suite,and P = price of a platinum suite. -Which of the following is the objective function? A) Maximize 875S<sup>2</sup> + 600G<sup>2</sup> + 255.7554P<sup>2</sup> - 6.176471S - 4.081633G - 1.079137P B) Maximize 875S + 600G + 300P - 6.176471S<sup>2</sup> - 4.081633G<sup>2</sup> - 1.079137P<sup>2</sup> C) Maximize -875S<sup>2</sup> - 600G<sup>2</sup> - 300P<sup>2</sup> + 6.176471S + 4.081633G + 1.079137P D) Maximize 600S + 255.7554G + 875P - 4.081633S<sup>2</sup> - 4.081633G<sup>2</sup> - 6.176471P<sup>2</sup> This means,for example,that a 1% decrease in the price of a standard suite will increase the number of suites sold by 1.5%.Similarly,a 1% increase in the price will decrease the number of suites sold by 1.5%.For any pricing structure (in $) ,the projected number of suites of a given type sold (we will allow continuous values for this problem) can be found using the formula:
(Historical average number of suites sold) + (Elasticity) (New price - Current price) (Historical average number of suites sold) /(Current price)
The hotel owners want to keep the price of a standard suite between $70 and $90; a gold suite between $90 and $110; and a platinum suite between $120 and $149.
Define S = price of a standard suite,G = price of a gold suite,and P = price of a platinum suite.
-Which of the following is the objective function?


A) Maximize 875S2 + 600G2 + 255.7554P2 - 6.176471S - 4.081633G - 1.079137P
B) Maximize 875S + 600G + 300P - 6.176471S2 - 4.081633G2 - 1.079137P2
C) Maximize -875S2 - 600G2 - 300P2 + 6.176471S + 4.081633G + 1.079137P
D) Maximize 600S + 255.7554G + 875P - 4.081633S2 - 4.081633G2 - 6.176471P2

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