Question

It costs Microsoft $4,110 to manufacture 8 consoles in an hour and $8,190 to manufacture 16 in an hour at a particular plant, obtain the corresponding linear cost function, in dollars.

C (x) = __________

What was the cost in dollars to manufacture each additional console?

estimate the cost in dollars of manufacturing 25 consoles in an hour.

Answer 1

x= number of consoles produced in 1 hour

For 8 consoles in one hour, the cost is $4,110.

For 16 consoles in one hour, the cost is $8,190.

additional cost for each additional console:

(8190-4110)/(16-8)=510

we look for the fixed cost:

4110=510*8+fixed cost

4110 = 4080+fixed cost

4110-4080 =fixed cost

fixed cost: 30

C(x)= 510x+30

1) What was the cost in dollars to manufacture each additional console? $510

2)estimate the cost in dollars of manufacturing 25 consoles in an hour. C(25)= 510*25+30=$12780