The cost per unit of producing a product is 40+5 dollars, where x represents the number of units produced per week. If the equilibrium price determined by a competitive market is $200, how many units should the firm produce and sell each week to maximize its profit?

A restaurant is working to determine the supply and demand for their newest entrée.  Based on preliminary research, they found that their demand function is 5q+28p=962 and the supply function is -q+7p=47 p q is the number of entrées ordered.  Based on their preliminary research, what would be the market equilibrium price for the new entrée?

When Green Eggs and Ham are sold for $4.00 per apple at Whoville, approximately 2500 servings are sold. When the price is raised to $4.50 per Green Eggs and Ham, the number of servings sold drops to 2250. The cost of producing and shipping the Green Eggs and Ham can be modeled by, C = 3000 + .6x Assuming that the demand function is linear, what price will yield a maximum profit

The demand equation for a manufacturer's product is: D = 210 - 0.3q where q is the number of units and p is the price per unit. For what value of q will there be a maximum income? How much is the maritime income?