Nana sells homemade hand sanitizers at a price of 75 pesos per bottle. Suppose r bottles of sanitizer are produced each day and C(x) pesos is her daily cost, and C(r) =² + 25x + 100. a. Find Nana's marginal profit function. Note: Marginal profit is the increase in profit that results from the production and sale of one additional unit of output. b. Find the number of bottles of homemade hand sanitizer sold if Nana has a marginal profit of 20 dollars.
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- Company ABC sells 2 products : X and Y. The cost of product is for X is 400 pesos and Y is 300 pesos. The profit for X is 40 and Y is 30. The total demand for both products is 1,000 units. Production cost is 100,000 pesos. How many units that the company produce so that to earn maximum profit? Answer in mathematical expression, tabular form, constraint, and profit.You are given the profit function: Profit = 100Q – Q2 – 100 – 0.5Q2a. In words, how would you find the quantity you should produce to maximize profits?b. What is the slope of this line at that optimal profit point, and how does its value tell you that you areat the optimal quantity?c. In words, what would the slope of that line be if you produced a quantity smaller than the optimalquantity? In words, what would the slope of that line be if you produced a quantity greater than theoptimal quantity?Francis wants to buy some paintings for their store to make it feel more classy. Francis would need to take $20,000 out of their savings account (which earns 1% interest a year) in order to finance the paintings. At the end of the year, Francis knows they could sell the paintings for $20,000 but they would choose not to. When calculating this year's economic profit, Francis would count this as a: a. explicit cost of $20,000 and an implicit cost of $2,000. b. explicit cost of $20,000 and an implicit cost of $20,000. c. explicit cost of $20,000. d. implicit cost of $2,000.
- Homework(Ch 15) 4. Profit maximization and loss minimization BYOB is a monopolist in beer production and distribution in the imaginary economy of Hopsville. Suppose that BYOB cannot price discriminate; that is, it sells its beer at the same price per can to all customers. The following graph shows the marginal cost (MC), marginal revenue (MR), average total cost (ATC), and demand (D) for beer in this market. Place the black point (plus symbol) on the graph to indicate the profit-maximizing price and quantity for BYOB. If BYOB is making a profit, use the green rectangle (triangle symbols) to shade in the area representing its profit. On the other hand, if BYOB is suffering a loss, use the purple rectangle (diamond symbols) to shade in the area representing its loss. PRICE (Dollars per can) 4.00 3.50 3.00 2.50 2.00 1.50 1.00 0.50 0 MC 0 0.5 ATC 1.5 MR 1.0 2.0 2.5 3.0 QUANTITY (Thousands of cans of beer) 3.5 4.0 + Monopoly Outcome OL Profit Loss a I' n1. Pekan Nenas has 20 competitive pineapple orchards, all of which sell pineapples at the world price of RM2 per pineapple. The following equations describe the production function and the marginal product of labor in each orchard: where Q is the number of pineapples produced in a day, L is the number of workers, and MPL is the marginal product of labor. (a) (b) (c) Q = 100L - L² MPL = 100 - 2L, (d) What is each orchard's labor demand as a function of the daily wage W? What is the market's labor demand? Pekan Nenas has 200 workers who supply their labor inelastically. Solve for the wage W. How many workers does each orchard hire? How much profit does each orchard owner make? Calculate what happens to the income of workers and orchard owners if the world price doubles to RM4 per pineapple. Now suppose that the price is back at RM2 per pineapple but a flood destroys half the orchards. Calculate how the flood affects the income of each worker and of each remaining orchard owner. What…Suppose that the profit from the sale of Kisses and Kreams is given by the following, where x is the number of pounds of Kisses and y is the number of pounds of Kreams. P(x, y) = 10x + 6.6y - 0.001x² -0.025y² dollars You know from previous experience that, for such a profit function, profit will be maximized at the critical point of P(x,y). (a) Determine the amounts of Kisses and Kreams that will maximize profit. pounds of Kisses pounds of Kreams (b) What is the maximum profit? (Round your answer to two decimal places.) $
- For a firm to maximize profit, it must minimize the cost of producing whatever quantity it produces. Use the isocost and isoquant tools to present a firm that is choosing the optimal levels of labor and capital (i.e., tools) to produce a certain quantity and a certain cost. Then, show in your diagram how this firm would respond if it were to expand and spend more on its inputs, assuming it is best for the firm to become more “capital intensive” as it grows. Comment on WHY a firm might best become more capital intensive as it expands, even when the relative prices of labor and capital remain unchanged.For the pizza seller whose marginal, average variable, and average total cost curves are shown in the accompanying diagram, what is the profit-maximizing level of output and how much profit will this producer earn if the price of pizza is $0.80 per slice? Instructions: In the graph below, label all three curves by double-clicking on the ??? to select the appropriate label. Then, indicate the profit-maximizing level of output and the Average Total Cost (ATC) at that output level. Price ($/slice) 2.5 1.39 1.15 685 80 .68 .50 200 260 360 Quantity (slice/day) reset 570 ד Q* ד ??? ATC ??? ??? Instruction: If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. At the profit-maximizing level of output, the producer's profit is: $ per day.Distinguish between technical efficiency and economic efficiency
- Your average total cost is $30; the price you receive for the good is $15. Should you keep on producing the good? Why? You should produce in the long run as long as you are only earning small economic losses. It is always possible to make up a small loss. Maybe. It depends on whether you are covering average variable costs in the long run. You should not produce in the long run because you are earning an economic loss. All inputs are variable in the long run so you can go out of business. You should continue producing in the long run because you are earning an economic profit.Suppose that a technological innovation decreases BYOB's costs so that it now faces the marginal cost (MC) and average total cost (ATC) given on the following graph. Specifically, the technological innovation causes a decrease in average fixed costs, thereby lowering the ATC curve and moving the MC curve. Place the black point (plus symbol) on the following graph to indicate the profit-maximizing price and quantity for BYOB. If BYOB is making a profit, use the green rectangle (triangle symbols) to shade in the area representing its profit. On the other hand, if BYOB is suffering a loss, use the purple rectangle (diamond symbols) to shade in the area representing the loss. 4.00 3.50 Monopoly Outcome 3.00 2.50 Profit 2.00 Loss 1.50 ATC 1.00 0.50 MC MR 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 QUANTITY (Thousands of cans of beer) PRICE (Dollars per unit)Hi! Can you help me with the question below? Northside Social (NS) sells cups of coffee and amazing breakfast sandwiches. The current price of a cup of coffee is $3.00 and the current price of an amazing breakfast sandwich is $8.00. At those prices, NS sells 1000 cups of coffee and 200 breakfast sandwiches daily. NS faces a constant marginal cost for each cup of coffee of 50 cents and the constant marginal cost of breakfast sandwiches is $2. NS increases the price of coffee 5%, to $3.15. After the price increase, NS sells 900 cups of coffee, a decrease of 10% in cups of coffee. Demand for coffee at NS at this price interval is best described as:A) ElasticB) InelasticC) Unitary ElasticD) Perfectly Elastic