The equation P(x)=2500x-2x^2 describes the profit of a company that customizes bulldozers when it customizes x bulldozers in a month. -Describe the domain and range for the fuction P(x).-For what profit of bulldozers per month is at least 750,000 dollars?Please show your work as much as possible and I'll make sure to pick the best answer, thanks!
why don't you show some work? you'll get more help, this is 'homework help' not 'homework solutions. also, paying attention in class helps immensly.
I'll try for your second question.. the answer is 500. X=500 domain and range= all positive real numbers from and zero
the domain is 0 to infinity (you can't make negative bulldozers) 2500-4x=0 (P prime set to zero) 2500=4x 625=x (critical point) P(625)=781250 - Max of the function Range then is from negative infinity(Producing an infinite amount of trucks) to 781250 750,000=2500x-2x^2 2x^2-2500x+750000=0 x^2-1250x+375000=0 (factor or use quadratic, I chose calculator) btwn x=500 and x=750
