CT Gift Shop is profitable but has a cash flow problem as of the end of...

 

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CT Gift Shop is profitable but has a cash flow problem as of the end of June. December is the busiest month, and the shop expects to make a decent profit by the end of the year. As of the end of June, the gift shop has 2,000 in cash in the bank. At the start of each month, rent and other bills are due, and the shop has to make the payments. By the end of the month the shop will receive revenues from its sales. The projected revenues and payments are as follows: Month Jul Aug Sep Oct Nov Dec Sales ($) 3,000 3,000 4,000 4,000 9,000 15,000 6,000 5,000 8,000 3,000 4,000 Payments ($) 6,000 CT Gift Shop has an excellent credit history and can take out loans to help cover the shortfalls. On July 1, the gift shop can take out a 6-month loan with a 10% interest rate for the period that is to be paid back at the end of December. The gift shop can also take out a 1-month loan at the start of each month at an interest rate of 2% per month. Formulate CT Gift Shop's cashflow problem as an LP so to minimize the amount of interest paid. Solve the LP by the Simplex Method. CT Gift Shop is profitable but has a cash flow problem as of the end of June. December is the busiest month, and the shop expects to make a decent profit by the end of the year. As of the end of June, the gift shop has 2,000 in cash in the bank. At the start of each month, rent and other bills are due, and the shop has to make the payments. By the end of the month the shop will receive revenues from its sales. The projected revenues and payments are as follows: Month Jul Aug Sep Oct Nov Dec Sales ($) 3,000 3,000 4,000 4,000 9,000 15,000 6,000 5,000 8,000 3,000 4,000 Payments ($) 6,000 CT Gift Shop has an excellent credit history and can take out loans to help cover the shortfalls. On July 1, the gift shop can take out a 6-month loan with a 10% interest rate for the period that is to be paid back at the end of December. The gift shop can also take out a 1-month loan at the start of each month at an interest rate of 2% per month. Formulate CT Gift Shop's cashflow problem as an LP so to minimize the amount of interest paid. Solve the LP by the Simplex Method.

Answer rating: 100% (QA)

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