if the selling price of a certain product is shown in the figure below and the variable cost per unit is 31. then the demand the ge maximum profit is Oa 452units Ob 470units Oc 455units Od 450units Oe 445units
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- A company is negotiating a contract to sell wooden boards overseas. The fixed cost that canbe allocated to the production of boards is $800,000 per month. The variable cost perthousand board feet is $155.50. The price charged will be determined byp = $600 − (0.5)D per 1,000 board feet.(i) For this situation, determine the optimal monthly sales volume for this product andcalculate the profit (or loss) at the optimal volume.(ii) Calculate/Identify the range of profitable demand during a month.PUP 48,213 UST 40,000 FEU 27,889 LRT2 200,000 passengers daily If 60% of PUP, 30% of UST, and 85% of FEU students take LRT2 daily and pays an average fare of Php25 per day… What is the total annual market size (revenue) of LRT2? What is the total annual market size (revenue) of the 3 schools? If operations is halted for 1 week, what is the projected loss in revenues? What is the market share (volume) of: PUP students? UST students? Feu students?Find market price if factor cost is$10and NIT is $20?
- Ain a community of 10000 people, each is willing to pay Ksh 10 for each well dug. The cost of digging the wall is is given by C= Q2+20Q. Calculate the pareto efficiecy number of wells to be dug. If the government want to dug the well at a minimal cost, how many walls will it dig and how much will it spen if the projet is given to a private, profit making organization, how many well would the firm dig?Suppose we know that p=1,056– D/5, where p = price in dollars and D = annual demand. The total cost per year can be approximated by $1,000 + 2D2 . a.Determine the value of D that maximizes profit. b.Show that in part(a) profit has been maximized rather than minimized. c. Find the maximum profitDataware is trying to determine whether to give a $10 rebate, cut the price $6, or have no price change on a software product. Currently, 40,000 units of the product are sold each week for $45 apiece. The variable cost ofthe product is $5. The most likely case appears to bethat a $10 rebate will increase sales 30%, and half of all people will claim the rebate. For the price cut, the most likely case is that sales will increase 20%.a. Given all other assumptions, what increase in sales from the rebate would make the rebate and price cut equally desirable?b. Dataware does not really know the increase in sales that will result from a rebate or price cut. However, the company is sure that the rebate will increase sales by between 15% and 40% and that the pricecut will increase sales by between 10% and 30%.Perform a sensitivity analysis that could be used to help determine Dataware’s best decision.
- The BCY Corporation provides accounting services to a wide variety of customers, most ofwhom have had a business association with BCY for more than five years.BCY's demand is: P = 24,000 – 20Q, and BCY's marginal cost of service is: MC = 40Q.a. If BCY charges a uniform price for a unit of accounting service, Q, what price must itcharge per unit, and how many units must it produce per time period in order to maximizeprofit? Calculate the consumer surplus.b. If BCY could enforce first-degree price discrimination, what would be the lowest pricethat it would charge and how many units would it produce per time period?c. With perfect price discrimination and ignoring any fixed cost, what is total profit andwhat is the amount of consumer surplus?DBM Industries produces exclusively an SP Juice in the market under the name DBM Sparkle . The firm’s manager must determine how many bottles to produce before he knows what the market price will be. Assume a competitive market situation. Forecast from the Department of Economics (DOE) revealed that, there is 30 percent chance that the market price will be P80 per liter and a 70 percent chance that it will be P40 per liter when the juice hits the market. If DBM’s cost function is C = 200 + .0005Q2, how much juice should DBM produce to maximize expected profit ? How much is the expected price?Problem 2 Refer to problem 1.(Problem 1: Auto Mart is a mythical seller of a variety of automobileparts and accessories. Auto Mart's owner, Jonathan Trott, wishes to determine the optimum order quantity for oneof the store's popular wiper blades. The annual demandfor the wiper blades is 16,000. The annual holding costper unit is US$2.50, and the cost to place an order is US$50:) Assuming that holding costs and ordercosts remain the same, if annual demand for wiper blades doubles to 32,000, does the EOQ also Double? Explainyour answer with relevant calculations.
- Out of 10000 people in a community, each is willing to pay Ksh 10 for each well dug. The cost of digging the wall is is given by C= Q2+20Q. Calculate the pareto efficiecy number of wells to be dug. If the government want to dug the well at a minimal cost, how many walls will it dig and how much will it spen if the projet is given to a private, profit making organization, how many well would the firm dig?Firm A provides commercial cleaning services. The price ? it charges is a linear function of the area? to be cleaned: ? = ?? + ? for some numbers ? and ?. It is known that the price is $1300 if the area is 500m 2,1and the price is $2300 if the area is 1000m 2. What are ? and ?Assume that a product sells for $100 per ton and thatPittsburgh is the basing-point city for calculating transportation charges. Shipping from Pittsburgh to a potentialcustomer in Cincinnati costs $10 per ton. The actual shipping costs of suppliers in three other cities are $8 per tonfor Supplier A, $11 per ton for Supplier B, and $10 per tonfor Supplier C. Using this information, answer the followingquestions:a. What delivered price would a salesperson for Supplier Aquote to the Cincinnati customer?b. What delivered price would a salesperson for Supplier Bquote to the Cincinnati customer?c. What delivered price would a salesperson for Supplier Cquote to the Cincinnati customer?d. How much would each supplier net (after subtractingactual shipping costs) per ton on the sale?