Answer 1)
Calculation of Contribution margin per hour
Particulars |
Regular (35 gallons) |
Large (50 gallons) |
Sales Price per unit |
$ 8.30 |
$ 10.80 |
Variable Costs per unit |
$ 3.70 |
$ 4.10 |
Contribution margin per unit |
$ 4.60 |
$ 6.70 |
Units per machine hour |
16 units |
10 units |
Contribution per hour |
$ 73.60 per machine hour |
$ 67.00 per machine hour |
Decision: In the given question that both product use the same machine and machine capacity is limited to 3,500 machine hours. And since demand of both products is unlimited, machine hours are the limiting factor or Key Factor. That product will be manufactured which provides maximum contribution per machine hour.
From the perusal of above table it can be concluded that since contribution per machine hour of Regular Bin (i.e. $ 73.60 per machine hour) is higher than that of Large Bin (i.e. $ 67.00 per machine hour), maximum possible units of “Regular Bin” should be produced with the available machine hours to maximise overall profits.
Working Notes:
Contribution per machine hour = (Number of units of the product that can be produced in one machine hour X Contribution per unit of that product)
Regular:
Contribution per machine hour = 16 units per machine hour X $ 4.60 per unit
= $ 73.60 per machine hour
Large:
Contribution per machine hour = 10 units per machine hour X $ 6.70 per unit
= $ 67.00 per machine hour
Answer 2)
Calculation of number of units of each product that should be manufactured to maximise overall profits
As calculated in Answer 1, since the contribution per machine hours of Regular Bin is higher than that of Large bin and the demand for each bin is unlimited, all machine hours should be used to manufacture maximum possible units of “Regular Bin”.
Units of Regular Bin to be manufactured = Total machine hours X number of units per machine hour
= 3,500 machine hours X 16 per machine hours
= 56,000 units
Therefore 56,000 units of “Regular Bins” should be produced to maximise profits. Also, as the machine hours are limited, no unit of “Large Bin” will be manufactured.
Answer 3)
Calculation of operating Income of the company from the manufacture of 56,000 units of “Regular Bins”
Particulars |
Per unit |
Total (for 56,000 units) |
Sales Price |
$ 8.30 |
$ 464,800 |
Less: Variable Costs |
$ 3.70 |
$ 207,200 |
Contribution margin |
$ 4.60 |
$ 257,600 |
Less: Total Fixed Cost |
$ 95,000 |
|
Net Operating Income |
$ 162,600 |
Therefore the operating income of the company will be $ 162,600
Ch 25-3 Score: 0 of 10 pts 3 of 5 0 completely HW Score: 0% 0 of 36 pis S25-5 (similar to) Best on t...
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Storage Solutions produces plastic storage bins for household storage needs. The company makes two sizes of bins: Large (50 gallon) and Regular (35 gallon). Demand for the product used to be so high that the company could sell as many of each size as it could produce. The same machinery is used to produce both sizes. The machinery is available for only 3,000 hours per period. The company can produce 10 Large bins every hour compared to 15 Regular bins...
Requirement 1. Which product should Container Solutions
emphasize? Why? Complete the product mix analysis to determine the
contribution margin per machine hour.
More Info - X The company makes two sizes of bins: large (50 gallon) and regular (35 gallon). Demand for the products is so high that Container Solutions can sell as many of each size as it can produce. The company uses the same machinery to produce both sizes. The machinery can only be run for 3,600 hours...
This questtion is 1 to 3, i attached pictures of options for
question 1 please enlarge it to view them.
please all data in the blue box are included.
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