Expert: Sherry Wallin - 12/8/2009

Question
I need to figure out the (1.) profit function (2.)partial derivative for x and y (3.)the best production level for x(brand A) and for y(brand B) (4.)the best price for x (brand A) and y (brand B) (5.) the maximum profit for the following problem:
a department store sells two brands of inexpensive calculators. The store pays $6 for each brand A calculator and $* for each brand B calculator. The research department has estimated the weekly price-demand equations for these two competitive products to be p=(5664-24x-20y)/400 q=(12352-32x-60y)/800  

Answer
What is '$*' ? Is this suppose to be $8? Profit = Revenue - cost. Partial derivatives of x and y with respect to which equations? Here are the ones for p and q:
dp/dx = -24/400 = -3/50 and dp/dy = -20/400 = -1/20.
dq/dx = -32/800 = -1/25 and dq/dy = -60/800 = -3/50.

The rest of the problem can not be done without the proper information.

Math Prof