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Malcom’s Tee Shirt & Jacket Company is to produce a new line of rain coats. There are fixed costs of $570 to set up for production, and variable costs of $30 per jacket. Write an equation that can be used to determine the total cost, C(x), encountered by Malcom’s Company in producing x rain coats, and use the equation to find the total cost of producing 118 rain coats.
a) $4110b) $4102c) $4090d) $4122e) none

Respuesta :

Answer:

[tex]C(x)=30x+570[/tex]

a) $4110

Step-by-step explanation:

Let x represent number of rain coats and C(x) represent total cost to produce new line of rain coats.

We have been given that the fixed costs of $570 to set up for production, and variable costs of $30 per jacket.

The cost of x jackets would be [tex]30x[/tex].

The total cost of x jackets would be variable cost of x jackets plus fixed costs that is $570.

Therefore, the total cost of producing x rain coats would be [tex]C(x)=30x+570[/tex].

To find the total cost of producing 118 rain coats, we will substitute [tex]x=118[/tex] in the above equation as:

[tex]C(118)=30(118)+570[/tex]

[tex]C(118)=3540+570[/tex]

[tex]C(118)=4110[/tex]

Therefore, the total cost of producing 118 rain coats is $4110 and option 'a' is the correct choice.

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