Answer:
y = 14x + 135
y = 18x
Cost = $499
Revenue = $468
Profit = -$31
Step-by-step explanation:
if there is a fixed cost of $135 per week and a cost per item of $14. The equation that represents the cost will be the sum of the fixed cost and the cost of the total items, so it will be
y = 14x + 135
In the same way, when each item is sold for $18, the revenue will be 18 times the number of items, so
y = 18x
Finally, if they made 26 items, the cost can be calculated replacing x by 26 on the equation y = 14x + 135 and the revenue will be calculated replacing it in y = 18x. Therefore:
Cost
y = 14x + 135
y = 14(26) + 135
y = 364 + 135
y = 499
Revenue
y = 18x
y = 18(26)
y = 468
So, the profit will be the revenue less the cost
Profit = 468 - 499
Profit = -31
Therefore, the answers will be:
y = 14x + 135
y = 18x
Cost = $499
Revenue = $468
Profit = -$31