The 2 variables are messing with my head. Please help me make sense of this? I can't even get it set up right and I'm ready to throw my notebook out a window. Thanks in advance! Problem below:
The demand x for a certain product can be modeled by x = 100e^-0.02p per week.
The cost of supplying each unit is $25.
a) Write the PROFIT function as a function of price p
b) What is price p at which the maximum profit is realized?
The demand $x$ is a function of the price $p$: $$x = 100e^{-0.02}p$$ The profit per item is the price less the cost: $p-25$ and $x$ items are sold. Can you continue from here?