What is the monthly break-even point in number of units


Problem 1 – Flecker Vending Company

Flecker Vending Company operates and services snack vending machines located in restaurants, gas stations, and factories in four northwestern states.  The machines are rented from the manufacturer.  In addition, Flecker must rent the space occupied by its machines.  The following expense and revenue relationships pertain to a contemplated expansion program of 45 machines.

Fixed monthly expenses follow:

Machine rental: 45 machines @ $46.50                                   $2,093

Space rental: 45 locations @ $25.00                                         1,125

Part-time wages to service the additional 45 machines               1,200

Other fixed costs                                                                       350

Total monthly fixed costs                                                       $4,768

Other data follow:

                                  Per Unit                      Per $100 of sales

Selling price                   $1.00                                100%

Cost of snack                    .75                                  75

Contribution margin        $  .25                                 25%

Required:

These questions relate to the above data unless otherwise noted. Consider each question independently.

1. What is the monthly break-even point in number of units?  In dollar sales?

2. If 30,000 units were sold, what would be the company’s net income?

3. If the space rental cost were doubled, what would be the monthly break-even point in number of units? In dollar sales?

4. If, in addition to the fixed rent, Delgado Food Services Company paid the vending machine manufacturer $.02 per unit sold, what would be the monthly break-even point in number of units?  In dollar sales?  Refer to the original data.

5. If, in addition to the fixed rent, Delgado paid the machine manufacturer $.04 for each unit sold in excess of the break-even point, what would the new net income be if 30,000 units were sold?  Refer to the original data.

Problem 2: Morgan Tool Company:

Chico Ruiz, president of Morgan Tool Co., has asked for information about the cost behavior of manufacturing support costs.  Specifically, she wants to know how much support cost is fixed and how much is variable.  The following data are the only records available:

Month                 Machine hours                Support Costs

May                            900                             $  9,200

June                         1,350                               12,500

July                             990                                 8,000

August                      1,250                               11,000

September                1,800                               14,000

Required:

1. Find monthly fixed support cost and the variable support cost per machine hour by the high-low method.

2. Explain how our analysis for Requirement 1 would change if new October data were received and machine hours were 1,700 and support costs were $15,800.

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