Home > categories > Furniture & Décor > Rattan Sofa Set > Fantastic Furniture builds sofas. It costs $2,725 to build 9 sofas and $3,850 to build 14 sofas. Which equat?
Question:

Fantastic Furniture builds sofas. It costs $2,725 to build 9 sofas and $3,850 to build 14 sofas. Which equat?

Please help me, I don't quite understand how to do this.

Answer:

Well you haven't finished the question but I guess that the answer that you want is 700 + 225S = TC (S stands for the number of sofas made, and TC stands for total cost) Total cost normally consists of a fixed cost (overheads) + a variable cost per sofa (materials labour etc that vary with the number that are made) That being the case then $3850 = FC + 14VC $2725 = FC + 9VC Use the elimination method of solving simultaneous equations (3850 - 2725) = (FC - FC) + (14VC - 9VC) $1125 = 5VC Divide both sides by 5 $225 = VC As $2725 = FC + 9VC $2725 = FC + 9*225 $2725 = FC + $2025 $700 = FC Therefore we know that the fixed cost = $700 and the Variable Cost = $225 Therefore the equation that I reckon that you require is Total Cost = $700 + $225S (where S stands for the number of sofas made)
Damn.. I just have a sofa built in my ejector seat so i can find some guests and i like ice cream but u can find a bed in your fridge

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