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

question 75

Multiple Choice

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.
-If the number of available suites increases by 1 to 756,using the Lagrange multiplier,the total revenue would ________.

• A)increase by approximately $55.76
• B)decrease by approximately $17.96
• C)decrease by approximately $2,100.76
• D)increase by approximately $17.96