BISC 102 Lecture 6: Applying some Derivative Question
Document Summary
" represents the daily production cost of the antibiotic drug represents the daily revenue of the antibiotic in dollars. represents the profit for the day of the antibiotic drug in. Let x " represent the amount of antibiotics sold (bulk). C ( x)=0. 0025 x2+60x+100000 ; x > 0. 3000 units represents the maximum # of units of antibiotic to be sold in order for maximum profit. The maximum profit in which this pharmaceutical company can raise is when the company sells 3000 units of antibiotic daily. In this function p (x)= 0. 0025 x2+15 x 10000 0 the maximum profit will come at x = 3000. This value represents the absolute maximum as well as the local maximum because of the function and how leading coefficient is negative on the highest degree term. Since the function opens downwards, the function has a maximum extrema.