College

The total cost (in dollars) to produce [tex]q[/tex] units of a good is given by the function:

[tex]C(q) = 7.1q + 60000[/tex]

What is the total cost to produce [tex]q = 6100[/tex] units?

Cost [tex]= \, \$\square[/tex]

Answer :

To find the total cost to produce 6100 units, we need to use the given cost function:

[tex]\[ C(q) = 7.1q + 60000 \][/tex]

where [tex]\( C(q) \)[/tex] is the total cost in dollars, and [tex]\( q \)[/tex] is the number of units produced.

1. Substitute [tex]\( q = 6100 \)[/tex] into the cost function:

[tex]\[ C(6100) = 7.1 \times 6100 + 60000 \][/tex]

2. Calculate [tex]\( 7.1 \times 6100 \)[/tex]:

[tex]\[ 7.1 \times 6100 = 43310 \][/tex]

3. Add 60000 to the result:

[tex]\[ 43310 + 60000 = 103310 \][/tex]

Therefore, the total cost to produce 6100 units is $103,310.