Question

In: Accounting

7. Boston’s Dairy has just opened its main yogurt factory in upstate Massachusetts. This main factory...

7. Boston’s Dairy has just opened its main yogurt factory in upstate Massachusetts. This main factory can produce 3,500 boxes of yogurt monthly (each box contains twelve 6-oz cups). Due to overwhelming demand for the company’s product Boston’s Dairy had signed a contract to rent a new factory, which can produce up to 8,000 boxes per month. The monthly total fixed costs are $40,000 in the main factory and $18,000 in the new factory. The variable product cost of yogurt is $4.50 per box in the main factory. The variable cost in the new factory is $6.0 per box as materials have to be redistributed from the main factory. The average selling price is $15, and the variable selling expense is $1 per box, which is the same for all factories In addition, Boston’s Dairy plans to pay its sales force $0.80 per box as added bonus for every box sold above the break-even point.

How many boxes does the company have to produce and sell in order to earn a net operating income of $10,000 per month (round all decimal up to one box).

A. 11,500 boxes B. 4,233 boxes C. 1,389 boxes D. 6,344 boxes E. 7,983 boxes

Solutions

Expert Solution

Revenue and costs for main factory data are given below

Fixed costs

$ 40,000

Variable costs = 3500 (4.5+1)

$ 19,250

Total costs

$ 59,250

Total revenue 3500* 15

$ 52,500

Loss ( 52,500 – 59,250)

$ 6,750

Using this data for second factory, the new factory needs $ 6,750 profit in order to break even.

$ 18,000 + 6750 + 7x = 15x

Or. X = 3094 units need to be produced at new factory in order to break even

Total units in order to break even = 3500+3094 = 6594 units

After calculation of breakeven point, the contribution margin is to be used to get how many more units need to be sold to yield profit of $ 10,000. The additional box cost of $ 0.80 per box also need to be considered.

Contribution margin = 15 – (6+1+0.8) = $ 7.20

Number of units to be sold more = 10,000/7.20 = 1389 units

Total units to be sold to yield profit of $ 10,000 = 1389+6594 = 7983 units

Hence, the correct option is E. 7983 boxes

kindly upvote


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