A certain wholesale paint dealer, in buying and distributing x cases of paint per week }incurs the following expenses: ' , (1) Fixed costs (rent, etc.) of $1200 per week. , (2) An expense of $60x per week representing the cost of the paint itself to the dealer. (3) A cost of$x^2 / 24per week for storing the inventory, handling accounts, etc. Sales can be maintained at a rate of x cases per week at a price of p dollars per case, where x = 2160 - 24p. Finally, due to space and other limitations, the dealer's maximum level of operations is the distribution of 1000 cases per week. Detennine the price p .at which the dealer should sell each case in order to maximize the weekly profit of the busmess. Plot the graph of the profit function and indicate the point where the maximum profit occu
A certain wholesale paint dealer, in buying and distributing x cases of paint per week
}incurs the following expenses: ' ,
(1) Fixed costs (rent, etc.) of $1200 per week. ,
(2) An expense of $60x per week representing the cost of the paint itself to the dealer.
(3) A cost of$x^2 / 24per week for storing the inventory, handling accounts, etc.
Sales can be maintained at a rate of x cases per week at a price of p dollars per case,
where x = 2160 - 24p. Finally, due to space and other limitations, the dealer's
maximum level of operations is the distribution of 1000 cases per week. Detennine the
price p .at which the dealer should sell each case in order to maximize the weekly profit of
the busmess. Plot the graph of the profit function and indicate the point where the
maximum profit occurs
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
