.4 (Least squares) UpTop Mining has compiled the following data to analyz costs: onth Machine Hours Utility Cost muary 200 $300 pruary 325 440 rch 400 480 ril 410 490 y 525 620 ne 680 790 820 840
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- Mega Partner is selling two products Marker(m) and Eraser(e) and their budget is given with thefollowing equation: 15Qe+ 30Qm= 3000. Now answer the following questions. I. Draw the budget line for Mega PartnerII. What would be the highest amount spend on Marker with the existing budgetIII. If Total budget increases to 4500 what would be the new budget line (use diagram)IV. If Price of the Marker becomes 15, how this changes the existing budget line keeping allthe values remain same.2. Gorgeousleny purchased a combination of 15 breads and 5 juices with her income of P150 and price of bread is P6 and price of juice is P12. She proudly showed this to her mom, and to her dismay her mom said that she likes more juices than bread since its summer season. While on her way home she lost the receipt, but fortunately she can still receive store credit based from the total value of products. While approaching the customer service representative , she thought of this what if she sticks with her original plan of buying bread alone with no juice and vice versa. At the moment all juices in the store is 50% off. Draw the graph showing the budget constraints arise from endowments. a. ) Measure the qty. of bread on the vertical axis and the qty. of juice on the horizontal axis. Label both graph with its corresponding points, pt. A for bread and point B for juice. the combination of bread and juice label it as point C. b.) For both graph, What is the slope from point C…(a) Dividing MUX and MUY by their respective prices compute the weighted marginal utility or marginal utility of money expenditure and draw up Table 2 showing diminishing returns for the consumption of the 6 units? (b) Briefly state what you can infer on this equation; MUX/PX = MUY/PY as far as equi marginal principle and managerial economics is concerned? C)Given that MUX/PX and MUY/PY are equal to 6 when 5 units of X and 3 units of Y are purchased. By purchasing these combinations of X and Y, calculate the amount the consumer will spend and derive the maximum satisfaction from combination of these units. (d) Applying the above principle illustrate in terms of a figure, and draw marginal utility curves for goods X and Y. You need to use marginal utility and price i.e. Marginal utility per Kwacha spent on good X = MUX/PX, and that of Y = MUY/PY. The MUX/PX curve should be shown in figure (a) while the MUY/PY curve should be shown in Fig (b). Please do not draw negative…
- Economic Mathematics Consider the problem of inventory costs and production to satisfy a demand x for a certain product. The data is as follows: Delivery period T = 8Starting inventory x (0) = 0Ending inventory x (8) = 144Inventory cost CI (x (t)) = 7x (t)Production flow cost Cp = 3.5x'2 (t)1. Write the problem of minimizing total costs over time 2. Check the second order conditions for minimization3. Raise the Euler equation and the differential equation to solve4. Find the paths of inventory, production and total costs5. Graph the inventory and production lanes (use 0.5 increments over time)Title Suppose that Lynn enjoys coconut oil in her coffee. She has very particular preferences, and she mus Description Suppose that Lynn enjoys coconut oil in her coffee. She has very particular preferences, and she must have exactly two spoonfuls of coconut oil for each cup of coffee. Let C be the number of cups of coffee, and O be the number of spoonfuls of coconut oil. Also, let PC be the price of a cup of coffee. Suppose Lynn has $12 to spend on coffee and coconut oil. Also, the price of coconut oil is $.50 per spoonful.a) Graph Lynnâs Price Consumption Curve for prices, PC = $1, PC = $2, and PC = $3. Please put the number of cups of coffee on the horizontal axis, and the number of spoonfuls of coconut oil on the vertical axis. Be sure to label your graph carefully and accurately.b) Graph Lynnâs demand curve for coffee. You may assume that both coconut oil and coffee are continuous variables so she can consume any amount of coffee and coconut oil that she could afford.…Katie’s preferences for consumption and leisure can be expressed as U(C, L) = (C – 80) x (L – 40) This utility function implies that Katie’s marginal utility of leisure is C – 80 and her marginal utility of consumption is L – 40. There are 110 hours in the week available to split between work and leisure. Katie earns $15 per hour after taxes. She also receives $200 worth of assistance benefits each week regardless of how much she works. Graph Katie’s budget line. What is Katie’s marginal rate of substitution when L = 70 and she is on her budget line? What is Katie’s reservation wage? Find Katie’s optimal amount of consumption and leisure.
- 14) If the expenditures of Salih are equal to his income, it means that he is consuming at a point a) inside his budget constraint b) outside his budget constraint c) on his budget constraint d) which cannot be determinedTable 13-7The Flying Elvis Copter Rides Quantity TotalCost FixedCost VariableCost MarginalCost AverageFixedCost AverageVariableCost AverageTotalCost 0 $50 $50 $0 -- -- -- -- 1 $150 A B C D E F 2 G H I $120 J K L 3 M N O P Q $120 R Refer to Table 13-7. What is the value of M? a. $50 b. $140 c. $360 d. $410Set all variables to their baseline values.9) At what level of output is average cost a minimum?10) What is average cost (AC) at that output?11) What is marginal cost (MC) at that output? BASELINE COSTS TC (BASE) $175,113 AC (BASE) $43.78 MC (BASE) $64.12 NEW COSTS TC (NEW) $175,113 AC (NEW) $43.78 MC (NEW) $64.12 POLICY VARIABLES Output 4,000 Fixed cost 25,000 Tax per unit $0.00 AC(NEW)-MC(NEW) -$20.34
- 1. A firm is said to be earning normal profit whenever:A. Accounting profit is zero.B. Economic profit is positive.C. Accounting profit is positive.D. Total revenue equals explicit and implicit costs.2. If a 10% increase in inputs results in a 20% increase in output, then the firm is said to exhibit:A. Diseconomies of scaleB. Diminishing marginal returns to scaleC. Constant returns to scaleD. Economies of scale3. Economists have traditionally attempted to avoid the trap of:A. Thinking in terms of total utility.B. Computing marginal utilityC. Making interpersonal utility comparisons.D. None of the above.4. According to the water-diamond paradoxA. Water has a lower MU than Diamond.B. Water has a higher TU than Diamond.C. Prices reflect MU and not TUD. All of the above.Aya is selling 10 boxes of pizza with every slice at PHP 15 and 100 bottles of soda at PHP 12. What is Aya’s total revenue if each box of pizza has a maximum of 8 slices? How much is her profit if she spent PHP 10 per bottle of soda and PHP 75 per box of pizza?Table: Spring Water Quantity(Cases) Price TotalRevenue MarginalRevenue MarginalCost AverageTotalCost Total Cost 0 $16 $0 $25 $15 $10 1 $15 $15 35.00 $35 $13 $6 2 $14 $28 20.50 $41 $11 $4 3 $13 $39 15.00 $45 $9 $2 4 $12 $48 11.75 $47 $7 $3 5 $11 $55 10.00 $50 $5 $3 6 $10 $60 8.83 $53 $3 $5 7 $9 $63 8.29 $58 $1 $9 8 $8 $64 8.38 $67 Reference: Ref 15-12 Table: Spring Water Table: Spring Water. The table shows the demand and cost data for a firm in a monopolistically competitive industry producing drinking water from underground springs. The profit-maximizing output is _____ cases. Select one: a. 7 b. 5 c. 6 d. 8
