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(NON-RENEWABLE RESOURCES)
The demand and supply functions for oil for the current generation (in million barrels) is:
Demand: Qd = 250 – 5P
Supply: Qs = 5P
a. Other things being equal, assume that the available oil supply is 200 million barrels. Calculate and graph the efficient allocation of resources been the two generations.
b. Given the limited supply of oil as a non-renewable resource, should the resource be managed by a
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- (NON-RENEWABLE RESOURCES) The demand and supply functions for oil for the current generation (in million barrels) is: Demand: Qd = 250 – 5P Supply: Qs = 5P a. Assume the current generation does not consider the future at all. Draw a supply and demand graph showing the equilibrium price (P) and quantity (Q) consumed by this generation showing clearly the numbers for P and Q. b. Assume that the next generation will have the same demand. Supply for both generations is only 250 million barrels. Interest rate (r) is 5%. Calculate the efficient allocation of resources between the two generations. c. Other things being equal, assume that the available oil supply is 200 million barrels. Calculate and graph the efficient allocation of resources been the two generations.(Figure: Electricity generation). What is the profit maximizing quantity produced? Group of answer choices 2700 GWh 0 GWh 3000 GWh 2000 GWhVolume of Production Price (dollars) Total Production Cost (dollars) 10 1434 22841 30 991 26408 35 917 23781 45 1020 29675 70 703 38801 100 298 44834 4. Compute the slope of the demand curve. The potential answers are: A: -12.89 B: -10.5 C: -11.33 D: -14.28 E: -10.64 5. Compute the maximum potential sales quantity. The potential answers are: A: 127 units. B: 125 units. C: 105 units. D: 116 units. E: 168 units . 6. What percentage of total costs can be estimated based on the volume of production? The potential answers are: A: 69% B: 97% C: 91% D: 94% E: 92%
- 1. (a) The weekly demand (Qd) and supply (Qs) functions for a good X are given by:-Qd = 1000 – 5pQs = -400 + 15p, where P = Price per unit (R) (i) Draw the demand and supply curves on a graph and find the equilibrium price and quantity (ii) If the demand function changes to 1200 – 5P, show the changes to part (i) above. (iii) Suppose a subsidy of R40 per unit is subsequently granted to producers of good X. Determine the new equilibrium price and quantity. (b) Use suitable examples to explain the likely effects of a price ceiling. (c) What do you understand by the ‘Substitution and Income effects’ of a change in price of a good. (d) Elaborate on the factors influencing Price Elasticity of Demand (PED) and Price Elasticity of Supply (PES) of a good.The figure below shows the demand curve for a U.S. farmer for irrigating his land. It costs $100 per acre to irrigate the land. Each acre of land irrigation generates salty runoff that winds up in the Colorado River. It costs $50 to desalinate this river water so Mexican farmers can irrigate their crops. Price ($) 275 250 225 200 175 150 125 100 75 50 25 0 DMBMB sed 10 20 30 40 50 60 70 80 90 100110120 Irrigation (acres) Tools (2) MCpvt MC social7 (ii) There are 50 ships using a rocky harbor. Each has the same demand for lighthouse service X: X = 20 - P/2 (a) What is the aggregate demand for lighthouse services? (b) If the marginal cost of having a lighthouse is $100 per unit of service, how much lighthouse service should there be?
- 2. Let the global demand q (in thousand-tonnes per day) for one partic- ular metal be related to the price p in thousand-dollars per tonne by p = D(q) where the demand function is D(q) = 50¹-0.01g (a) Calculate D(60) and interpret your answer in context. (b) Calculate D'(q). (c) Calculate D'(60) and interpret your answer in context.4. Currently the equilibrium price and quantity in the milk market are $4 per gallon and 100,000 gallons. The Price Elasticity of Demand is determined to be 0.80 while the Price Elasticity of Supply is determined to be 1.20. A price floor is set at 20% above the current equilibrium price. (a) Determine the dollar amount of the price floor. (b) Determine the Qs after the price is imposed. (c) Determine the Qd after the price is imposed.Price (dollars par bar 3.00 2.50 2.00 1.50 1.00 0.50 0 5 10 15 Supply of energy bars (original) Supply of energy bars (new) Demand for energy bars 20 25 30 35 Quantity (millions of bars per week) Based upon the above graph, answer the following questions A) The shift in supply to the right represents a(n) in supply and new equilibrium quantity is B) Based upon your answer to A, name two factors that may have caused the change in supply? C) Would this occurrence result in a surplus or shortage of energy bars? Explain why
- 3. Masagana Electronics, a firm that manufactures affordable microcomputers, is about to start production of two new types of microcomputers: VOICE and ECHO. Each type will require assembly time, inspection time and storage space. The amounts of the resources that can be allocated to the production of the microcomputers are limited. The manager of the firm would like to know the quantity computer to produce to maximize profit. The data are given below: VOICE ECHO 10 hours 4 hours 1 hour 2 hours Storage Space per unit 2 cubic feet P2,850 2 cubic feet P2,800 Profit per unit a. Formulate the linear program appropriate for this problem. b. Graphically illustrate the linear program. Label your axes properly and shade the feasible region. c. How many units of each type of computer should the firm produce to maximize profit? Available 100 hours. 22 hours 26 cubic feet Assembly Time per unit Inspection Time per unitAs per given information, the table is completed:- (In $) Quantity Price Total Marginal Total Cost Marginal Revenue Revenue Cost 34 20 20 1 32 32 32 36 16 2 30 60 28 46 10 28 84 24 50 4 4 26 104 20 54 4 24 120 16 56 2 22 132 12 64 7 20 140 80 16 8 18 144 4 100 20 16 144 128 28 14 140 -4 160 32 (d) Generally, what are the relative values of price, ATC, and AVC when a monopolist experiences: a profit? a loss but continues to produce? a loss but ceases production? 102. Reading a Demand Curve Suppose that the graph below shows the demand curve for aluminium. PRICE (Dollars per ton) 6400 5600 will 4800 4000 3200 2400 1600 800 0 0 80 120 160 200 240 280 QUANTITY OF ALUMINIUM (Millions of tons) 40 320 If the price of aluminium is $3200 per ton, buyers are willing to buy The maximum price buyers are willing to pay for 160 million tons of aluminium is (?) million tons of aluminium. per ton. Aluminium is highly valuable in the manufacturing of automobiles and aircraft due to its strength-to-weight ratio. It also has low-value uses, such as household wiring, where it can be substituted for other conductive materials. As the price of aluminium rises, the quantity demanded of aluminium because aluminium will
