Tuesday, May 21, 2013

Company ABC’s profit is determined by the following equation: P = 30x + 40y, where x and y are sales of particular products and P is in thousands of dollars. It was determined that maximum and minimum profit values occur when sales occur in the following ordered pairs: (2,6), (6,4) and (-1,-3). At which pair is the maximum profit and at which pair is the minimum – state the profit.

P = 30x + 40y 
P(2,6)=30(2)+40(6)= 300 
P(6,4)=30(6)+40(4)= 340 
P(-1,-3)=30(-1)+40(-3)=-150 


Max profit was at (6,4) and was $304,000 
Min profit was at (-1,-3) and was a loss of $150,000 


:)

No comments: