Question

In: Finance

Your boss is so impressed with your answers to the previous questions, he assigns you an...

Your boss is so impressed with your answers to the previous questions, he assigns you an additional task of calculating the selling price for a new product. The company expects that a $25,000 profit goal is reasonable for this product if they are able to sell 18,000 units. What is the appropriate selling price for this new product? Remember that you can calculate the contribution by adding fixed costs to the profit goal and then dividing by the total quantity sold. Once you calculate the contribution per unit, you will need to add that value to the variable costs per unit. Use the following information to determine your answer.

Each worker you hire can only handle 2,000 units of product per year. The storage and truck costs must be paid on each of the 18,000 units your boss expects to be sold.

Item

Cost

Product Wholesale Price

$140/unit

Storage Depreciation

$3510

Storage Cost

$16.00/unit

Truck Cost

$6.00/unit

Truck Depreciation

$7,500

Labor

$32,000 per worker

Manager’s Salary

$15,000

Solutions

Expert Solution

We know that the formula for marginal costing is as follows.

Particulars Amount
Sales XX
Less - Variable Cost XX
Contribution XX
Less - Fixed Cost XX
Profit XX

Now let us draft the statement showing all the fixed cost variable cost , contribution and sales as per the data given in the problem.

Units -18000
Particulars Amount Remarks
Sales 3255010
Less - Variable Cost
Raw Material/Product costs 2520000 140*18000
Storage cost 288000 16*18000
Truck Cost 108000 6*18000
Labour 288000 (18000/2000)*32000
Contribution 51010
Less - Fixed Cost
Managers Salary 15000
Truck Depreciation 7500
Storage Depreciation 3510
Profit 25000

Hence the total sale value of 18,000 units will be 3255010
Now the selling price of each unit should be 3255010/18000 = $180.8339

Note - Fixed cost remains constant irrespective of the amount of sale and variable cost changes with change in the units of sale


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