The cost of production for boxes of markers is $500 to setup the equipment and an additional $0.35 per box for materials. A box of markers sells for $2.85. How many boxes of markers must be sold for the company’s income to equal the cost of production? 150

175

200

Well, let's see.

Call the number of boxes ' B '.

The cost to produce them is . . . $500 + $0.35B .

When they're sold, the income is . . . $2.85B .

When the income is equal to the manufacturing cost, what is ' B ' ?

2.85 B  =  500 + 0.35 B

Subtract 0.35B from each side . . . . . 2.5 B  =  500

Divide each side by 2.5 . . . . . B  =  200 boxes

I thought it was going to be harder and more complicated than that.

So I'd better check my

Set up the equipment . . . $500

When 200 boxes are manufactured, it costs (200 x $0.35) = $70

Total cost so far . . . . . $570 .

When 200 boxes are sold, the income is (200 x $2.85) = $570  

Yep !  They're equal.  Manufacturing cost is equal to income for 200 boxes.  After 200, the company starts making money, at $2.50 per box.

7

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: