A few days ago
pleasehelpme

The portion of the company’s fixed costs allotted to this product is $300, and the supplier’s price for a set

The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $300, and the supplier’s price for a set of tile is $6 each. Let x represent the number of tile sets.

Find the cost equation for the tile. Write your answer in the form C = mx + b.

C=300(x)+6

Could you please help me with this, i am totally confused?

Top 1 Answers
A few days ago
Dominic D

Favorite Answer

Cost is set by:

FIXED COSTS, which do not change

PRICE PER TILE, $6 each

Total COST = FIXED COST + COST OF TILES.

C = mx + b, where C is the TOTAL COST

the FIXED COSTS do not change… which term on the right side does NOT CHANGE? b

COST OF TILES equals the number the tiles used, multiplied by the cost per tile. … ($6/tile)(# of tiles).

The number of tiles is the variable. It can change.

in the equation, … x = # of tiles, changes. SO:

C = mx + b = 6x + 300.

Check: what if NO TILES are used, x = 0 … the cost is just the FIXED COST $300.

-what happens as you use more tiles…

x = 1, C = 306

x = 2, C = 312

x = 3, C = 318…

Cost increases as number of tiles increases.

Be carefull… the $300 coming first in the problem does not mean it is the first number in the equation.

gl

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