Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Carey Enterprises sells bottles of natural pesticides: Bug-gone, Aphid-eliminato

ID: 2781281 • Letter: C

Question

Carey Enterprises sells bottles of natural pesticides: Bug-gone, Aphid-eliminator, and Slug-less. The company has annual fixed costs of $291,000. Last year, the company sold 5,600 bottles of its pesticide in the ratio of 3:4:3. Carey's accounting department has compiled the following data related to the three pesticides:

Required:

A. Calculate the total number of bottles that must be sold for the company to break even. If required, round your answer to nearest whole number.

_____total units

B. Calculate the number of bottles of Bug-gone, Aphid-eliminator, and Slug-less that must be sold to break even. If required, round your intermediate and final answers to nearest whole number.

Total Units to be Sold:

Bug-gone:

Aphid-eliminator:

Slug-less:

C. How might Carey Enterprises reduce its break-even point?

Bug-gone Aphid-eliminator Slug-less Price per canister $13 $17 $19 Variable costs per canister 6 12 12

Explanation / Answer

A. The ratio of each of the Three are :

Bug-gone = 3/10, Aphid eliminator = 4/10 and Slugless = 3/10

Let us assume "X" number of units should be sold to break even ,

We frame the equation

3X/10 *(13-6) + 4X/10*(17-12) + 3X/10*(19-12) - 291,000 =0

3X/10 * 7 + 4X/10*5 + 3X/10 *7 - 291,000 =0

21X/10 + 20X/10 + 21X/10 -291,000 =0

21X+20X +21X -2,910,000/10 =0

21X+20X +21X -2,910,000 =0

X = 46,935.48 Units

X= 46,936 Units (Rounded)

Calculate the total number of bottles that must be sold for the company to break even = 46,936 Units

B . The number of Units of Bug-gone = 3/10 *46,936 = 14,081 Units

The number of Aphid-eliminator = 4/10 * 46,936 = 18,774 Units

The number of Slug-less = 3/10 *46,936 = 14,081 Units

C. Cary migh reduce break-even point by:

a. Redcing Fixed Costs

b. Reducing Variable costs

c. Increasing the price of Each pesticide