Answer:
a)one lens: 111,212.66
15000 lenses: 301,100
b)y=111,200+12.66x
slope: 12.66
c)12.66 dollars per unit of lens produced
d) 20.07
e) 19.2
f)decreases
Step-by-step explanation:
a) Cost of producing one lens
fixed expenses+variable expenses=111,200+12.66=111,212.66
Cost of producing 15,000 lenses
fixed expenses+variable expenses=111,200+12.66(15,000)=301,100
b)Expense function:
let y be the expense cost
let x be the number of lenses produced
y=111,200+12.66x
Slope:
The function is a line equation: y=mx+b where m is the slope.
In this case b=111,200 and m=12.66. So the slope is 12.66
c) the cost increases 12.66 dollars per unit of lens produced
d) The cost of producing 15000 lenses is:
111,200+12.66(15,000)=301,100
If DiMonte produces 15000 lenses, the average cost per lens is:
301,100/15000=20.073≈20.07
e)The cost of producing 17000 lenses is:
111,200+12.66(17,000)=326,420
If DiMonte produces 17000 lenses, the average cost per lens is:
326,420/17,000=19.2
f)The average per lens decrease.
