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- Q4 (i) A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand,where P(t) =6t2 + 5t (t + 1)2. What happens to production in the long run ? (ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture.Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0),but for x > 0,it is found that y =0.5(x2 + 3x) /x3 + x2 + 4x.Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?Sarah is considering two investment proposals. Proposal A is to purchase a new computer. Proposal B is to purchase a new printer. She will not buy the printer unless she buys the computer. The relationship between Proposals A and B is best described by which of the following? a. B and A are mutually exclusive b. B is contingent on A c. A is contingent on B d. Not enough information is given to determine a relationshipQ4 A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand,where P(t) =6?2 + 5? /(? + 1)2 production in the long run (i) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture.Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0),but for x > 0,it is found that y =0.5(x2 + 3x)/ x3 + x2 + 4x Required:a)Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?
- Neuroeconomics attributes time-inconsistency to (A) high levels of the oxytocin hormone; (B) the quasi-hyperbolic discounting of future consumption; (C) the two distinct systems (spontaneous System 1 and calculating System 2)of decision making; (D) risk aversion.Holding everything else constant, an increase in the savings rate will reduce the level of consumption per worker. True FalseKusho Industries produces and sells computer chips. Its (hourly) production function is Q=4K 0.4L 0.6 while its (hourly) cost function is C=20L+80K. Furthermore, Kusho must produce q0=400 computer chips per hour. a. Which levels of L and K satisfy the first-order conditions for the constrained minimisation of Kusho’s cost? Use the Lagrange Multiplier (LM) method. Also, find and interpret the value of the Lagrangemultiplier b. Show that MRTS=w at the constrained cost minimising levels of L and K obtained above
- A change from E 1 to E 2 is most likely to result from: A decrease in consumer incomes An increase in the wages of chicken workers An increase in the price of beef products Improved technology in the chicken industryThe demand equation for a product for a product brand of mackerel is given by the equation Qx=50-7Px+0.002I+12Py Where Qx=monthly consumption per family in cartons Px=price per carton of makerel=GHC 2.00 I=median annual family income=GHC20,000 Py=price per carton of competing brand of mackerel=2.5 Required: i.At the stated values of the explanatory variables,calculate the consumption of makerel(cartons). ii.what is the relationship between Good x and Good y? iii.what is the nature of Good x ? iv.Suppose the median annual family income increases to GHC40,000,What will be your new consumptino for Good x? v.Suppose that the price per carton of competing brand increases GHC3.00, What will be your new consumption for Good x?If the initial cost of an investment project is not totally sunk (the project is not totally irreversible), one should not consider real options” True or False? Write a short answer that offers a discussion about the statement. (10%)