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- Suppose honey is produced in a beehive using bees and sugar. Each honey producer uses one beehive which she rents for $20/month. Producing q gallons of honey in one month requires spending 5q dollars bees, and 4q2 dollars on sugar. (a) What is the total cost of producing q units of honey for an individual honey producer in a given month? (b) In general, if the total cost of producing honey is a + bq + cq2, then the marginal cost of producing honey is b + 2cq. Assuming each honey producer operates as a price-taker, what is the monthly supply curve for an individual producer? (c) Let Q be the total market supply, and q is the supply of an individual firm. Therefore, q = Q/n where n is the total number of firms in the market. Suppose the demand for honey is given by Q = 512-4P. Also, suppose there are 50 honey producers in the market. What is the equilibrium price of honey? (d) How much profit does an individual producer make in a month? Is this a long-run equilibrium? If the…A firm manufactures two products, each of which must be processed through cutting and finishing departments. The information for the two goods are represented in the table below: Good Type 1 and 2 Good 1 Cutting of material 3 hours per unit Finishing 4 hours per unit Profit Margins R5 per unit Good 2 Cutting of material 4 h per unit Finishing 6 h per unit Profit Margins R6 per unit Total cutting of material 120 hours Total finishing 260 h ours (a) Write down the constraints or inequalities. (b) Write down the objective function. (c) Sketch the graphs of inequalities and shade the feasible region. (d) How many types of each good should be manufactured to maximize profit.Noah and Naomi want to produce 300 garden benches per week in two production plants. The cost functions at the two plants are C1(Q1)=800Q1−2(Q1)^2and C2(Q2)=850Q2−3(Q2)^2The corresponding marginal costs are MC1=800−4Q1and MC2=850−6Q2What is the best assignment of output between the two plants?Instructions: Enter your answers as whole numbers.Noah and Naomi should produce benches at plant 1 and benches at plant 2.
- As a producer and seller of some commodity, you have learned that, if you produce and sell x itmes in a particular month, the following functions can be used to find the cost and revenue: Revenue: R(x)=150x-x^2 and Cost: C(x)=3000+20x. (a) Write a simplified formula for your profit in a particular month, P(x)=R(x)- C(x) (b) Find the "break-even" point(s) (c) How many items should you produce and sell in a month in order to achieve a maximum profit? (d) What is the maximum possible monthly profit? This is the problem and I cannot solve the c and d, could you please help me?The following tables show a small firm’s long-run average cost of manufacturing a good at two differentplants:Table1: Plant 1Quantity Total cost Average cost Marginal cost1 332 893 1474 2075 2706 3387 4138 5039 601Table2:Plant 2Quantity Total cost Marginal cost Average cost1 322 643 1024 1425 1876 2397 2978 3579 419a. Complete the third and fourth columns of each table.b. Suppose the price of the good is $60. How many units should the firm produce in each plant tomaximize profit?c. Compute and compare the profits the firm can make if it produces the optimal quantity at eachplant.4. The Diversified Vegetable Company grows two crops, tomatoes and zucchini. The firm is a price-taking seller. The price of a bushel of tomatoes is $20, while the price of a bushel of zucchini is $30. The firm uses the same land and the same workers to raise the two crops, and its total cost for the two crops is 5XT2 + 6XZ2 + XTXZ, where XT and XZ are the respective quantities of tomatoes and zucchini. Find the following: A. The profit maximizing level of production of tomatoes and zucchini. B. The maximized profits.
- You run a donut shop. You have two types of customers – early morning, and late morning. Below are the maximum prices a 6 am customer and a 10 am customer are willing to pay for a cup of coffee, a donut, and a coffee/donut bundle. There are 100 customers in each group per day. 6 am customer 8 am customer Coffee 0.70 0.60 Donut 0.50 1.00 Bundle 1.20 1.60 Your marginal cost of coffee is $0.10. Your marginal cost of a donut is $0.40. Your marginal cost of a bundle is $0.50. Is pricing the products separately more profitable than bundling the two products? If so, how should you price your bundle? Show all your computations.A firm has access to two production processes with the following marginal cost curves: MC1 = 0.25x and MC2 = 6+0.1y, where output in production process 1 is x, output in production process 2 is y and hence total output produced is Q = x+y. Show your work to answer the following questions. (i) If it wants to produce 20 units of output, how much should it produce with each process? (ii) If it wants to produce 38 units of output, how much should it produce with each process? (iii) If it wants to produce 108 units of output, how much should it produce with each process?Theo sells baby rattles at $3 per unit and each month he sells 3,000 units out of the back of his wagon in the city park. Theo has no employees and estimates he could rent his wagon to another entrepreneur for $2,000 eachmonth. He also knows that he could earn about $5,000 a month as a model. He pays $1 per unit for plastic, his only raw material. Question: Should Theo continue to sell his baby rattles in the park? Explain
- For the Statement at the end, there are drop down arrows and options for you to choose from, and values to fill in. Drop down options will be listen in brackets, and blanks are values that must be found. Simone's profit is maximized when she produces _______shirts. When she does this, the marginal cost of the last shirt she produces is $_______ , which is (greater/less) than the price Simone receives for each shirt she sells. The marginal cost of producing an additional shirt (that is, one more shirt over the amount that would maximize her profit) is ________, which is (greater/less) than the price Simone receives for each shirt she sells. Therefore, Simone's profit-maximizing quantity corresponds to the intersection of the (marginal cost and marginal revenue/ total cost and profit/ total cost and total revenue/ marginal cost and total revenue/ total revenue and profit/ total cost and marginal revenue) curves. Because Simone is a price taker, this last condition can also be…Suppose that you own a 20-acre plot of land that you would like to rent out to wheat farmers. For them, bringing in a harvest involves $30 per acre for seed, $80 per acre for fertilizer, and $70 per acre for equipment rentals and labor. With these inputs, the land will yield 40 bushels of wheat per acre. Instructions: Enter your answers as a whole number. a. If the price at which wheat can be sold is $6 per bushel and if farmers want to earn a normal profit of $10 per acre, what is the most that any farmer would pay to rent your 20 acres? $ b. What price would the farmer pay to rent your 20 acres if the price of wheat rises to $7 per bushel?In order to produce a new product, a firm must lease new equipment. The managers feel that they can sell 10,000 units per year at a price of $7.50. If the variable cost of production is $5.00 per unit, what is the most the firm can spend to lease the new equipment without losing money?