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The cost function, C(x) in terms of x, the number of refrigerators manufactured is written as C(x) = 1665 + 100x
The given parameters;
- total cost of manufacturing 160 refrigerators = $17665.
- total cost of manufacturing 182 refrigerators = $19865.
- total cost, C, is linearly related to the number of refrigerators, x
The linear equation is set up as follows;
C = b + ax
where;
- b is the fixed cost
- a is cost per refrigerator
First equation;
17665 = b + 160a -------(1)
Second equation;
19865 = b + 182a -----(2)
subtract equation 1 from equation 2 to solve for the value of a;
2200 = 22a
Solve for the value of b;
17665 = b + 160(100)
17665 = b + 16000
b = 17665 - 16000
b = 1665
<em>C(x) = b + ax</em>
<em>C(x) = 1665 + 100x</em>
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Thus, the cost function, C(x) in terms of x, the number of refrigerators manufactured is written as C(x) = 1665 + 100x
Learn more here: brainly.com/question/13792039