Question

A small company manufactures picnic tables. The daily fixed cost is 1,200 and the variable cost is $45 per table. How many picnic tables can be produced for a total daily cost of 4,800.

Answer 1

Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:

C(n) = 1200 + 45n.

Now, we have to solve for n when C(n) = 4800, hence:

1200 + 45n = 4800

45n = 3600

n = 3600/45

n = 80.

More can be learned about linear functions at https://brainly.com/question/24808124

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