Toyz is a large discount toy store in Valley Wood Mall. The store typically has slow sales in the summer months that increase dramatically and rise to a peak at Christmas. During the summer and fall, the store must build up its inventory to have enough stock for the Christmas season. To purchase and build up its stock during the months when its revenues are low, the store borrows money.
Toyz is a large discount toy store in Valley Wood Mall. The store typically has slow sales in the summer months that increase dramatically and rise to a peak at Christmas. During the summer and fall, the store must build up its inventory to have enough stock for the Christmas season. To purchase and build up its stock during the months when its revenues are low, the store borrows money.
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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![Toyz is a large discount toy store in Valley Wood Mall. The store typically has slow sales in the
summer months that increase dramatically and rise to a peak at Christmas. During the summer and
fall, the store must build up its inventory to have enough stock for the Christmas season. To
purchase and build up its stock during the months when its revenues are low, the store borrows
money.
Following is the store's projected revenue and liabilities schedule for July through December
(where revenues are received and bills are paid at the first of each month):
Month
Revenues
Liabilities
July
August
September
October
$20,000
30,000
40,000
$60,000
60,000
80,000
30,000
30,000
20,000
50,000
November
December
80,000
100,000
At the beginning of July, the store can take out a 6-month loan that carries an 11% interest rate
and must be paid back at the end of December. The store cannot reduce its interest payment by
paying back the loan early. The store can also borrow money monthly at a rate of 5% interest per
month.
Money borrowed on a monthly basis must be paid back at the beginning of the next month. The
store wants to borrow enough money to meet its cash flow needs while minimizing its cost of
borrowing. Formulate a linear programming model for this problem.
[12]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d280049-8d21-4085-a2ce-1a0f21697083%2Fb1e472c7-282c-413a-8e2a-f4f2bbe16478%2Ftu8qcz7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Toyz is a large discount toy store in Valley Wood Mall. The store typically has slow sales in the
summer months that increase dramatically and rise to a peak at Christmas. During the summer and
fall, the store must build up its inventory to have enough stock for the Christmas season. To
purchase and build up its stock during the months when its revenues are low, the store borrows
money.
Following is the store's projected revenue and liabilities schedule for July through December
(where revenues are received and bills are paid at the first of each month):
Month
Revenues
Liabilities
July
August
September
October
$20,000
30,000
40,000
$60,000
60,000
80,000
30,000
30,000
20,000
50,000
November
December
80,000
100,000
At the beginning of July, the store can take out a 6-month loan that carries an 11% interest rate
and must be paid back at the end of December. The store cannot reduce its interest payment by
paying back the loan early. The store can also borrow money monthly at a rate of 5% interest per
month.
Money borrowed on a monthly basis must be paid back at the beginning of the next month. The
store wants to borrow enough money to meet its cash flow needs while minimizing its cost of
borrowing. Formulate a linear programming model for this problem.
[12]
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