Question

Machine a has a fixed daily cost of $40 and variable cost of one dollar per item produced. machine B has a fixed daily cost of $30 and a variable cost of $1.50 per item produced. A) what is the number of Items X for which the total daily cost C in dollars of each machine will be the same x items? B) what is the total daily cost per machine for this number of items?

Answer 1

To find the number of items, x, for which the total daily cost, C, of each machine will be the same, we can set up an equation and solve for x. The number of items x for which the total daily cost C of each machine will be the same is 20. For 20 items produced, the total daily cost per machine is $60.

Step-by-step explanation:

To find the number of items, x, for which the total daily cost, C, of each machine will be the same, we can set up the following equation:

40 + 1x = 30 + 1.5x

Simplifying, we get:

0.5x = 10

Dividing both sides by 0.5, we find:

x = 20

Therefore, the number of items x for which the total daily cost C of each machine will be the same is 20.

To find the total daily cost per machine for this number of items, we can substitute x = 20 into the equations for each machine:

Machine A: C = 40 + 1(20) = 60

Machine B: C = 30 + 1.5(20) = 60

So, for 20 items produced, the total daily cost per machine is $60.