Question 81604
the cost to produce 2000 units is found by setting x equal to 2000 in the cost function


C(2000)=1.75(2000)+7000 ... C=3500+7000 ... C=10500


the profit on x units is found by substituting the value of x into the profit function


a.)  P(2000)=2.25(2000)-7000 ... P=4500-7000 ... P=-2500


b.)  P(5000)=2.25(5000)-7000 ... P=11250-7000 ... P=4250


C.)  the break even point is where there is no profit or loss ... find by setting P(x) equal to zero and solving for x


0=2.25(x)-7000 ... 7000=2.25x ... x=28000/9 ... this is not an integer value, so the break even point is between 3111 and 3112