Each week, heather's company has $5000 in fixed costs plus an additional $250 for each system produced. The company is able to produce 5 systems in one hour of production. Let c represent the company's cost, n represent the number of systems produced, and h represent the number of hours in production.

Step-by-step explanation:

Step one:

Given data for Heather's company

Fixed cost = $5000

Additional cost = $250

in a week there are 168 hours

hence they will produce a total of 168/5= 33.6

=34 systems

the expression for the total cost can be modeled as

c=mn+f

where c=total cost

 m= the Additional cost

n= number of systems produced per hour

  h= the number of  systems produced per hour

   f= fixed cost

Step two:

c=mn+f

given that n=34, we can find the total cost as

c=250(34)+5000

c=8500+5000

c=13500

the total cost for each week is $13,500