How many calculators should be produced at each plant?

[theoneadamk]

I need to know what algebraic use to solve to the following problems. I have a template for a similar problem, but the steps to take were confusing.

Both compaines produce calculators.
M has a unit cost of $8.40 and a fixed cost at $7480. E has a unit cost at $7.80 and a fixed at $5419. Both compaines want to produce 1500 calculators at combined costs of $24,956. How many should be produced at each plant ?

 

[Mrspi]

Re: Linear System Problem

I need to know what algebraic use to solve to the following problems. I have a template for a similar problem, but the steps to take were confusing.

Both compaines produce calculators.
M has a unit cost of $8.40 and a fixed cost at $7480. E has a unit cost at $7.80 and a fixed at $5419. Both compaines want to produce 1500 calculators at combined costs of $24,956. How many should be produced at each plant ?

Let x = number produced at company M
Let y = number produced at company E

There are to be 1500 calculators produced altogether, so
x + y = 1500

If company M produces x calculators, its cost will be 8.40x + 7480
If company E produces y calculators, its cost will be 7.80y + 5419

The total production cost is to be $24,956. So,
M's cost + E's cost = 24956
8.40x + 7480 + 7.80y + 5419 = 24956

You can simplify that.....
8.40x + 7.80y = 12057

Here's your system:

x + y = 1500
8.40x + 7.80y = 12057

Solve by your favorite method.

If you have trouble, please repost showing all steps you have taken to solve the system (even if you think they're incorrect) so we can see where you need further help.