Question

The cost formula for a company can be modeled by C = 38 x + 19100 where x represents the number of items made. A formula for the company's income is modeled with R = 88 x , where x is the number of items sold. A company will break even when its costs equal its income.

Answer 1

Answer: The company must sold 382 units to break even.

Step-by-step explanation:

Hi, there is no question asked, so I suppose that  you need to  find the number of items (x) to break even.

To answer this question we have to equal both sides of the equations:

Since costs equal its income:

C=R

So:

38x +19100= 88x

Solving for x

19100= 88x-38x

19100=50x

19100/50 =x

382=x

The company must sold 382 units to break even.

Feel free to ask for more if needed or if you did not understand something.

Answer 2

Answer:Cost= 33616, Revenue= 33616, Break even point= 382

Step-by-step explanation:

Your question is incomplete as you didn't say what you'll like us to help you with but I'll help you solve for the cost, revenue and break even point of the company.

Cost= 38x+19100

Revenue= 88x

where x is the number of items sold.

To get break even point, cost will be equal to revenue.

Cost = Revenue

38x+19100 = 88x

Collect like terms

88x-38x = 19100

50x = 19100

x= 19100/50

x= 382

The company will break even when 382 goods are sold.

Cost= 38x+19100

= 38(382) + 19100

= 14516 + 19100

= 33616

Revenue= 88x

= 88(382)

= 33616