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Product Pricing: Single Product
Sue Bee Honey is one of the largest processors of its product for the retail market. Assume that one of its plants has annual fixed costs totaling $12,000,000, of which $4,500,000 is for administrative and selling efforts. Sales are anticipated to be 800,000 cases a year. Variable costs for processing are $30 per case, and variable selling expenses are 25 percent of selling price. There are no variable administrative expenses. If the company desires a profit of $7,500,000, what is the selling price per case? Round answer to two decimal places.
$ 0 price per case


Sagot :

Answer: $72.50

Explanation:

Let the selling price per case be represented by x.

Based on the information you can in the question, we will have an equation as:

(80000 × x) = 12,000,000 + 7,500,000 + (800,000 × 30) + (0.25 × 800000x

800000x = 12,000,000 + 7,500,000

+ (800,000 × 30) + (0.25 × 800000x)

800000x = 43500000 + 200000x

Collect like terms

800000x - 200000x = 43,500,000

600,000x = 43500000

x = 43,500,000 / 600,000

x = 72.50

Selling price per case is $72.50