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Question

# KitKat Kondos makes kitty condos. They have $10,000 per week in fixed operating cost and each kitty condo costs$12 to make. Write a polynomial function that represents the cost of making x kitty condos. Create a table to use with KitKat condos. Label the columns Number of Condos, Total Cost, and Cost per Condo. Use 25, 50, 75, 100, 125, 150, 200, 250, 300, 400, and x for the number of condos. Write a rational function that represents the cost per condo of x kitty condos. Draw a graph showing the relationship between the number of condos and the cost per condo. Use your table to determine an appropriate scale. If the cost per condo was \$13, how many condos did the company make?

Solution

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$\textbf{(a) }$Since each kitty condo costs $\12$ to make, the cost for making them in $x$ quantity is

$T(x)=12x+10000$

Note that the extra 10000 is due to the fixed operating costs

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