The price-demand equation for heads of lettuce is 40p-x=25 . Where is the price of a head of lettuce and is the weekly demand (in thousands) for lettuce. How can I write an expression for revenue as a function of the weekly demand for lettuce.

Question

The price-demand equation for heads of lettuce is 40p-x=25  . Where  is the price of a head of lettuce and  is the weekly demand (in thousands) for lettuce. How can I write an expression for revenue as a function of the  weekly demand for lettuce.

gw2011 · Answer

Solve for x which is the demand for lettuce:

40p-x=25
40p-25=x

If you know the actual price (p), you can substitute that value into x=40p-25 and you will get the amount of lettuce demanded.

anonymous · Answer

40p-x=25
p=(25+x)/40
Revenue=p*x=((25+x)/40)*x=0.615*x+0.025*x^2