QuestionQuestion 9 of 10, Step 1 of 1 9/14 Correct 0
A company manufactures two models of a product, model $\boldsymbol{A}$ and model $\boldsymbol{B}$ . The cost for model $\boldsymbol{A}$ is $\$ 39$ and the cost for model $\boldsymbol{B}$ is $\$ 21$ . If the fixed costs are $\$ 640$ , the total cost function is given by $C(x, y)=640+39 x+21 y$ , where $x$ is the number of model $A$ and $y$ is the number of model $B$ . Find $C(56,60)$ . Answer Tables Keypad Keyboard Shortcuts $C(56,60)=\$ \square$ Submit Answer

Studdy Solution

STEP 1

1. The cost of model $A$ is \$39.
2. The cost of model \( B \) is \$21.
3. The fixed costs are \$640.
4. The total cost function is given by \( C(x, y) = 640 + 39x + 21y \).
5. We need to find \( C(56, 60) \).

STEP 2

1. Substitute the given values into the cost function.
2. Calculate the total cost.

STEP 3

Substitute $x = 56$ and $y = 60$ into the cost function $C(x, y) = 640 + 39x + 21y$ .
$C(56, 60) = 640 + 39(56) + 21(60)$

STEP 4

Calculate the total cost by evaluating the expression.
First, calculate $39 \times 56$ :
$39 \times 56 = 2184$
Next, calculate $21 \times 60$ :
$21 \times 60 = 1260$
Now, add these results to the fixed cost:
$C(56, 60) = 640 + 2184 + 1260$
$C(56, 60) = 4084$
The total cost is:
$\boxed{4084}$

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