DETAILS 7. [-/1 Points] Implicit Differentiaion & Related Rates Course Packet on computing elasticity of demand using implicit differentiation Math 110 Course Resources The demand function for a certain brand of compact discs is given by p = -5x2 - 4x + 103 where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. (a) Compute the price, p, when x = 4. dollars Price, p = (b) Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x = 4. Do not round your answer. thousands of units per dollar Rate of change of demand, x' = (c) Compute the elasticity of demand when x = 4. Do not round your answer. Elasticity of Demand = tv 4 OCT 44 F10 20 F3 F4 F5 F7 F8 F9 esc F1 F2 & @ # 6 CO 2 4 O Q W E R T Y U A S D F G H K Z X C V B N M option8. [-/1 Points] DETAILS - Implicit Differentiaion & Related Rates Course Packet on computing elasticity of demand using implicit differentiation Math 110 Course Resources The yearly demand function for Penn State Bakery cookie trays is given by x2 + 5p2 + 9x + 25p = 260 where p is the wholesale unit price in dollars and x is the quantity demanded each year, measured in units of a thousand. (a) Compute the price, p, when x = 10. Price, p = dollars (b) Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x = 10. Do not round your answer. thousands of units per dollar Rate of change of demand, x' = (c) Compute the elasticity of demand when x = 10. Do not round your answer. Elasticity of Demand = OCT stv A 5 F6 44 F8 F10 esc F2 F3 F5 F1 a # $ % 9 O 3 4 5 Q W E R T Y U O A S D F G H K L Z X C V B N MThe weekly demand equation is given by p + x + 3xp = 23, where x is the number of thousands of units demanded weekly and p is in dollars. If the price p is increasing at a rate of 60 cents per week when the level of demand is 2000 units, then demand is O decreasing 0 increasing at S units per week. Math 110 Course Resources - implicit Differentiaion & Related Rates Course Packet on related rates l A company is increasing production of math-brain protein bars at a rate of 100 cases per day. All cases produced can be sold. The daily demand function is given by l l = 2 _ L, / \\ pm 0 200 y \\ l ' where x is the number of cases produced and sold, and p is in dollars. / if the daily production is 700 cases, then revenue is 0 increasing 0 decreasing \\\\ at a rate of: dollars per day. 11. [-/1 Points] DETAILS Math 110 Course Resources - Implicit Differentiaion & Related Rates Course Packet on related rates The wholesale price p of e-tablet writing styluses in dollars is related to the supply x in thousands of units by 500p2 - x2 = 17996, If 2,000 styluses are available at the beginning of a week, and the price is falling at 10 cents per week, then supply is O falling O rising styluses per week. at a rate of itv OCT 5 DD 44 DIL F7 F8 F6 sc O.- 20 F4 F5 F1 F2 F3 a # $ A & 5 6 8 3 Q W E R T Y U A S D F G H K Z X C