Business High School

Dogstuff adjusts salaries based on changes in its stock​ price, which has increased consistently at one fifth its value per year. Yearly raises are the same fraction of the current salary as the yearly fractional change in stock prices. Hector currently earns ​$31 comma 500 per year at Dogstuff. Find last​ year's salary, the salary in 2 ​years, and the salary 2 years ago.

Answers

Answer 1

Answer:

Last year: $26,250

Two years later = $45,360

Two years before = $21,875

Explanation:

Given that:

Constant fractional changes in salary = 1/5 (same as fractional changes in yearly price of stock).

Hector's current salary = $31,500

Therefore, total salary including the fractional increase with respect to the current salary will be in the form:

Current salary * (1 + 1/5)

1 + 1/5 = 6/5

Salary for previous year:

Current salary / (6/5)

If period to calculate is more than a year; then the fraction is raised to the root of the given year.

That is (6/5)^number of years

Previous year salary:

$31500 / (6/5)

= $31500 / 1.2

= $26,250

Salary 2 years from now:

$31500 * (6/5)^2

= $31500 * 1.2^2

= $31500 * 1.44

= $45,360

Two years before:

$31500 / (6/5)^2

= $31500 / 1.44

= $21,875

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Riku Company manufactures two products. The budgeted per-unit contribution margin for each product follows: Super Supreme Sales price $ 68 $ 94 Variable cost per unit (38 ) (44 ) Contribution margin per unit $ 30 $ 50 Riku expects to incur annual fixed costs of $540,000. The relative sales mix of the products is 70 percent for Super and 30 percent for Supreme. Required Determine the total number of products (units of Super and Supreme combined) Riku must sell to break even. How many units each of Super and Supreme must Riku sell to break even?

Answers

Answer:

Super= 10,500

Supreme= 4,500

Explanation:

Giving the following information:

Spuer:

Contribution margin= $30

Sales proportion= 0.70

Supreme:

Contribution margin= $50

Sales proportion= 0.30

Fixed costs= $540,000

First, we need to calculate the break-even point in units for the whole company:

Break-even point (units)= Total fixed costs / Weighted average contribution margin

Break-even point (units)= 540,000 / (0.7*30 + 0.3*50)

Break-even point (units)= 15,000 units

Now, for each product:

Super= 15,000*0.7= 10,500

Supreme= 15,000*0.3= 4,500

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