11:041 . . 6.2 Problem Set 491 17. Business: Consumer's Surplus The demand for a particular product is mod- eled by the function D(x) = V285 - 2.4x, where the demand is in dollars and x is the number of thousands of units demanded each month. Find the consumer's surplus if the equilibrium price per unit of the product is $15. 18. Business: Consumer's Surplus The demand for a particular product is mod- eled by the function D(x) = 800e-0.04x, where the demand is in dollars and x is the number of thousands of units demanded each month. Find the consumer's surplus if the equilibrium price per unit of the product is $241. 19. Business: Consumer's Surplus The demand for a particular product is mod- eled by the function D(x) = 150 + 200e-0.001x, where the demand is in dollars and x is the number of thousands of units demanded each month. Find the consumer's surplus if the equilibrium price per unit of the product is $298. 20. Business: Producer's Surplus A manufacturer will make x thousands of units of a product available each year when the price for each unit of the product is set at S(x) = 12x2 dollars. Find the producer's surplus if the equilibrium price per unit of the product is $75. 21. Business: Producer's Surplus A manufacturer will make x thousands of fire pit gas tube units available each year when the price for each gas tube is set at S(x) = 11 + 0.36x2 dollars. Find the producer's surplus if the equilibrium price per unit of the product is $47. 22. Business: Producer's Surplus A manufacturer will make x thousands of guitar stands available each year when the price for each stand is set at S(x) = 0.01 + 0.10Vx dollars. Find the producer's surplus if the equilibrium price per stand is $1.61. 23. Business: Producer's Surplus A manufacturer produces cardboard tubes onto which paper is rolled and packs them in boxes of 100. The manufacturer will make x thousands of boxes of tubes available each month when the price for each box is set at S(x) = 0.8e0.002* dollars. Find the producer's surplus when he produces and sells 1,500,000 boxes. (Keep in mind that the number of boxes produced is counted in the thousa 21 4. Business: Consumer's and Producer's Surplus The monthly deman for a particular item is related to the price of the item by the function D(x) = -x2+ 34.8x + 1,928, where the price is in dollars and x is in tho sands of units. A manufacturer will supply x thousands of units of the ite when the price of the item is S(x) = 1.4x2 - 50x + 1,480 dollars. Find b O Send a chat