Two college students earn extra money on weekends by delivering firwood in thier pickup truck. They have found that they can sell x cords per weekend at a price of p dollars per cord, where x=753/5 p. The students buy the firewood from a supplier who charges them C dollars for x cords to the equation C=500+15 x+1/5 x^{2}. b)find the profit P dollars if p=$95
Jackie Profit is the amount of money you take in minus the amount you spend. That is profit is revenue minus cost. The cost you know, C=500+15 x+1/5 x^{2}. You also know that x=753/5 p so you can substitute this expression into the cost function to express cost as a function of p. Revenue, R, is the number of cords the students sell times the price they charge for a cord. Thus R = xp. But x=753/5 p so R = p(753/5 p) Now you can write P = R  C as a function of p. Cheers,Penny
