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.
[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.
