Which of the following could cause a change in the feasible region? Removing a redundant constraint O Adding a non-redundant constraint O Increasing an objective function coefficient in a minimization problem O Adding a redundant constraint O Increasing an objective function coefficient in a maximization problem
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- 9. Consider the problem of minimizing x+2y subject to the constraint x+y=1. What is the optimal level of x and y? x=? y=? 10. Consider the problem of minimizing 3x+2y subject to the constraint x+y=1. What is the optimal level of x and y? x=? y=?A penurious graduate student has a food budget of $100.00/week. To survive with sufficient energy to attend classes, he knows that he needs to consume 50 protein units per week. The only two foods he can stand to eat on a regular basis are beans and hamburger. He derives twice as ich pleasure per protein unit from eating hamburger as he does from beans. a. Assume that hamburger costs $3.00 per protein unit and beans cost $1.00 per protein unit. Formulate the student's diet problem as a linear program. (You can assume he wants to maximize his "total utility" from his diet and that he gets I utile from each protein unit of beans he consumes and 2 utiles from each pro- tein unit of hamburger.) What is the optimal consumption of beans and ham- burger in this case? b. Plot the student's price-response curve for beans as the price of beans goes from $0.01 to $2.00, assuming that everything else (including the price of hamburger) stays constant. Note that his individual price-response…Assume Tom is on budget constraint AC and the price of a hamburger is $4.00. Tom's monthly income is . Tom's monthly budget constraint 40 A OD B 20 Number of hamburoers per month O 80 100 160 O 240 Number of hot dogs per month
- 1. An individual's budget Suppose Bob has a yearly budget of $120 to spend on oat milk and peanut butter. Oat milk is priced at $2 per quart, and peanut butter is priced at $6 per jar. If Bob spends his entire $120 on oat milk, he can buy jars of peanut butter. Use the blue line (circle symbol) to plot Bob's budget constraint on the following graph. Next, use the orange point (square symbol) to shade the area that represents combinations of oat milk and peanut butter that are affordable for Bob. Finally, place the black point (plus symbol) on the point on Bob's budget constraint that corresponds to a scenario in which Bob spends $60 on each good. Note: Dashed drop lines will automatically extend to both axes. PEANUT BUTTER (Jars) 120 110 100 90 80 70 60 50 40 30 20 10 0 0 10 20 30 + 40 50 60 70 OAT MILK (Quarts) quarts of oat milk. If he spends his entire $120 on peanut butter, he can buy + + 80 90 + H 100 110 120 BC, ($120) ☐ Affordable Region $60 on Each BC₂ ($240) ?86) An economy unit of agricutural output raquires 0.L'unit of ag ristural input and agriultural industy and a teatile industry. Each has 9n 0.1 unit of textiles inputs. Each unit of textiles output requires o.1 unit of agricul tural imput and 0:2 unlt of textiles input. a Write the technoligy matrix for this b) If surpluses of S units of agrlualhural products and15 units of texti le s ave desired, final the gois poluchion of each industry econdny. .E D C B In the graph above, the shift from curve 'B' to curve 'C' can be attributed to the- O Rising cost of raw materials O Price of a complimentary good decreasing O break-through of new technology O decline in average annual income
- Jake is a talented artist who sells hand-crafted goods on his website. Jake currently crafts and sells both tea towels and embroidered sweaters. He spends 8 hours a day working on crafts. The following table gives different daily output scenarios depending on how much of his time is spent on each good. Choice A B с D E MBROIDERED SWEATERS 25 10 0 1 (Tea towels) 8 6 4 2 2 0 Hours Crafting 3 On the following graph, use the blue points (circle symbol) to plot Jake's initial production possibilities frontier (PPF). 4 TEA TOWELS 5 (Embroidered sweaters) 0 2 4 6 6 8 7 8 O Initial PPF A (Tea towels) 4 New PPF 3 2 1 0 (?) Produced (Embroidered sweaters) 0 12 17 19 20 Suppose Jake is currently using combination D, producing one tea towel per day. His opportunity cost of producing a second tea towel per day is per day. Now, suppose Jake is currently using combination C, producing two tea towels per day. His opportunity cost of producing a third tea towel per day is per day. ▼ From the previous…What is an equilibrium condition? How do we that we have an equilibrium condition?Van brings $40 to a baseball game to spend on sodas and pizza. The following diagram shows his budget constraint: SUCES OF PIZZA 20 18 16 14 12 4 2 0 4 6 U BC 10 SODAS According to the diagram, sodas cost 5 12 14 16 18 20 each, and puzza costs $ BC ? per slice. Adjust the diagram to show how Van's budget constraint would change if he had brought more money to the ballpark (Assume the prices of sodas
- Option Baseball Bats Tennis Racquets A 20 2 19 C 4 18 6. 16 8 10 F 10 The table above shows the production possibilities frontier for a company producing only 2 goods: baseball bats and tennis racquets. Suppose the company is currently producing 4 bats and 10 racquets all of which have been ordered by customers. If customer John puts in an order for 4 bats, so that the total number of bats to produce would then be 8, what is be the opportunity cost of filling John's order? 8 racquets 10 racquets nothing 18 racquetsExplain the difference between a positive and a negative network externality. A network externality for a good is positive if O A. the substitution effect of a price change is larger than the income effect, but a network externality is negative if the income effect is larger than the substitution effect. B. consumption by others decreases a typical consumer's marginal utility from consuming the good, but a network extemality is negative if consumption by others increases a typical consumer's marginal utility from the good. c. the price is lower the more people own it, but a network externality is negative if the price is lower the fewer people own it. D. the quantity demanded is higher the more people own it, but a network externality is negative if the quantity demanded is lower the more people own it. O E. it has a complement, but a network effect is negative if it has a substitute. Give an example of each. An example of a positive network externality is the dermand for A. a work of…Why is a production possibilities frontier typically drawn as a curve, rather than a straight line?