A company manufactures and sells slippers. The price it charges wholesalers is $18 per pair. The company has fixed annual costs of $30,000. In addition, it costs the company $4.50 to make each pair of slippers. Use this information for Problems 7–12. SIMPLIFY ANSWERS

Given :

A company manufactures and sells slippers. The price it charges wholesalers is $18 per pair.

The company has fixed annual costs of $30,000.

In addition, it costs the company $4.50 to make each pair of slippers.

To Find :

The minimum slippers that company will sell to get all their cost back.

Solution :

Let, amount of slippers sold is x.

So, profit, P = (18-4.5)x

Cost of making x slippers, C = 4.5x + 30000

( 18-4.5 )x = 4.5x + 30000

9x = 30000

x = 3333.33

Since, number of slippers cannot be in fraction.

So, x = 3334

Therefore, number of slippers that company should sell minimum is 3334.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: