Problema Solution
A plant can manufacture 50 tennis rackets per day for a total daily cost of $3,855 and 60 tennis rackets per day for a total daily cost of $4,245.
(a) Assuming that daily cost and production are linearly related, find the total daily cost of producing x tennis rackets.
(b) Graph the total daily cost.
(c) Interpret the slope and y intercept of this cost equation.
Answer provided by our tutors
we have two points (50,3855) and (60,4245)
the linear equation for those two points is expressed as:
y=39x + 1905
this means that if no rackets are produced (x=0) the plant loses $1,905 per day; also, once the base cost of $1,905 is exceeded, the plant brings in an additional $39 per racket produced