Suppose that the total cost (in dollars) of producing a product is (30:, y) = 40 + 5x2 + 73/2, where x is the cost per pound for material and y is the cost per hour for labor. (a) If material costs are held constant, at what rate will the total cost increase for each $1-perhour increase in labor? (b) If the labor costs are held constant, at what rate will the total cost increase for each increase of $1 in material cost? :l Neee Help? 10. [-19.09 Points] DETAILS HARMATHAP12 14.2.049. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Suppose that the number of thousands of insects killed by two brands of pesticide is given by the following, where x is the number of liters of brand 1 and y is the number of liters of brand 2. x, y) = 10,000 sooe-U-le _ 95ogeUDZy What is the rate of change of insect deaths with respect to the number of liters of brand 1 if 200 liters of each brand are currently being used? (Round your answer to three decimal places.) [:] thousand insect deaths per liter Need Help? W 11. [-19.1 Points] DETAILS HARMATHAP1214.2.050. Suppose that the prot (in dollars) from the sale of Kisses and Kreams is given by P(x, y) = 25): + 6.9y 0.0075:2 0.015y2 where x is the number of pounds of Kisses and y is the number of pounds of Kreams. Find 6P/6'y, and give the approximate rate of change of profit with respect to the number of pounds of Kreams that are sold if 100 pounds of Kisses and 14 pounds of Kreams are currently being sold. (Give an exact answer. Do not round.) \":1 What does this mean? If the number of pounds of Kisses is held constant and the number of pounds of Kreams is increased from 14 to 15, the profit will increase by approximately $ C] . Need Help?