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# Quantitative Assignment

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Orange Company is evaluating its financing requirements for the coming year. The firm has been in business for only three years, and the firmâ??s chief financial officer (Erica Stevens) predicts that the firmâ??s operating expenses, current assets, and current liabilities will remain at their current proportion of sales.

Last year Orange had \$20 million in sales with net income of \$1 million. The firm anticipates that next yearâ??s sales will reach \$27 million with net income rising to \$2 million. Given its present high rate of growth, the firm retains all its earnings to help defray the cost of new investments.

The firmâ??s balance sheet for the year just ended is found below:

12/31/09 % of sales
Current Assets \$4,000,000 20%
Net Fixed Assets \$8,000,000 40%
Total Assets \$12,000,000

Accounts Payable \$3,000,000 15%
Long-term debt \$2,000,000 NA
Total Liabilities \$5,000,000

Common Stock \$1,000,000 NA
Paid-In Capital \$1,800,000 NA
Retained Earnings \$4,200,000 NA
Total Equity \$7,000,000 NA

Total Liability & Equity \$12,000,000

1. Estimate Orangeâ??s total financing requirements for 2010 and its net funding requirements.
2. Orange Company is considering manufacturing communication equipment for the military. The average selling price of its finished product is \$175 per unit. The variable cost for these same units is \$140 per unit. This project incurs fixed costs of \$550,000 per year.
1. What is the break-even point in units for the project?
2. What is the dollar sales volume the firm must achieve to reach the break-even point?
3. What would be the firmâ??s profit or loss at the following units of production sold: 12,000 units? 15,000 units? 20,000 units?

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## Quantitative analysis: Assignment problem

A certain firm has three different operations that must be assigned to four locations. The profit (in thousands of dollars) associated with each operation at each location is presented below. The firm's vice president would like to assign the various operations so that the total profit is maximized. Find the appropriate assignments.

Table 10-30
Operations Location
1 2 3 4
W 9 11 7 10
X 10 12 6 12
Y 8 10 13 9
Z 12 8 11 10

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