Mang Hector plans to buy x goats and y pigs with a budget of P 100,000. His farm can keep up to 50 goats and 20 pigs. Each goat costs P500 and each pig costs P 650. 1. Give all the constraints about x and y. 2. Represent the feasible solutions graphically. 3. If each goat yields a profit of P150 and each pig yields a profit of P250, how many goats and pigs should Mang Hector buy to maximize his profit?
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.Pricing Decisions at Madison The Madison Company manufactures and retails a certain product. The company wants to determine the price that maximizes its profit from this product. The unit cost of producing and marketing the product is 50. Madison will certainly charge at least 50 for the product to ensure that it makes some profit. However, there is a very competitive market for this product, so that Madisons demand falls sharply when it increases its price. How should the company proceed?2 In the pricing model in Example 7.1 with the constant elasticity demand function, the assumption is that all units demanded are sold. Suppose the company has the capacity to produce only 200 units. If demand is less than capacity, all of demand is sold. If demand is greater than or equal to capacity, only 200 units are sold. Use Solver to find the optimal price and the corresponding profit. Then use SolverTable to see how sensitive these answers are to the production capacity, letting it vary from 170 to 230 in increments of 10. Discuss your findings relative to the original solution in Example 7.1. In other words, what is the effect of capacity on the optimal price and profit?4. A bridge that was constructed at a cost of P75,000,000 is expected to last 30 years, at the end of which time its renewal cost will be P40,000,000. Annual repairs and maintenance are P3,000,000. What is the capitalized cost of the bridge at an interest of 6%?
- Manny signs a variable lease. He pays $10/ square foot. His index is 2.His utilities will cost $350.If his index goes up to 2.5 next year, how much will Manny payin rent? $25/square foot $12.50/square foot $8/square foot $50/square foot |8. Nabil is considering buying a house while heis at university. The house costs $200 000 today. Renting out part ofthe house and living in the rest over his fiveyears at scho ol will net, after expenses, $2000 permonth. He estimates that he will sell the house after five years for $210 000. If Nabil's MARRis ó percent compounded monthly, should he buy the house? Use present worth.A company manufactures iron cutting machines. Investment amount made with respect to the machine It is 800 thousand TL. Energy costs will increase by 50 thousand and 6% each year. Personnel expenses 35 thousand and it increases by 15 thousand every year, on the other hand, financing expenses are 100 thousand TL and 20% each year will increase by the rate. Since it is planned to manufacture 250 machines per year, 12 years of life and For this manufacturing with 30% capital cost, the company will calculate how many TL in total for the machines manufactured each year. one has to charge an expense and what will be the expense per unit. Note: Solve according to the annual equivalent cost method.
- 49 The local supermarket buys lettuce each day to ensure really fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $7.00 a box. The lettuce is sold for $18.00 a box and the dealer that sells old lettuce is willing to pay $2.00 a box. Past history says that tomorrow's demand for lettuce averages 255 boxes with a standard deviation of 40 boxes.1. A dealer wishes to purchase a number of fans and sewing machines. He has only 5760 ETB to invest and has space for almost 20 items. A fan costs him 360 ETB and sewing machine 240 ETB. His expectation is that he can sell a fan at profit of 22 ETB and a sewing machine at a profit of 18 ETB. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit. (Note: ETB - Ethiopian Birr) a. Formulate it as a linear programming problem (LPP) b. Use the graphical method to solve it.6) Nicole has decided to go to school which costs her a total of P19,500 and give upi on a job that paid her P24,900 for the year. But instead, she can hope to earn P29,900 after she graduates. Nicole's opportunity cost amount to?a. P19,500 b. P24,900c. P29,900d. P5,000 7. Villanueva Enterprises reported the ff. information. What is the cost of goods manufactured in February?I. Jan. 2017 -job accumulated cost of P3,000ii. Feb. 2017 -the following costs were added to production: Job 1-P10,000 Job 2-P8,000Job 3-P7,000 III. Feb. 2017 Job 1 was completed and sold for P18,000 Job 2 was completed but not sold Job 3 remains in production b. P8,000c. P10,000 d. P13,000e. P21,000 8. Julie borrowed a certain amount from Diane on June 2016. Two years later, Julle i again borrowed P5,000. Julie decided to pay P1,000 on June 2019 and dischargei her balance by paying P7,500 on June 2021. What was the amount borrowed oni June 2016 if the interest rate is 8% compounded annually?a. P1,389.50 b.…
- The question reads. A theater is presenting a program of drinking and driving for students and their parents or other responsible adults. The proceeds will be dontated to a local alcohol information center. Admission is $6.00 for adults and $3.00 for students. However this situation has two contraints. The theater can hold no more than 180 people and for every two adults, there must be at least one student. Hhow many adults and students shold attend to raise the maimum amount of money? What is the best way to work out this problem not using graphing. z=6x+3y contraints are x+y≤180 x-2y≤02. If the projected or forecasted sales of Malinao Bakery for the month of Januaryis 2100 loaves of bread, beginning inventory 50 loaves and the selling price isP50 per loaves. How much are the projected sales in peso of Malinao Bakeryfor January?A. P100,000. C. P107,500.B. P100,500. D. P105,000.PROBLEM The Seminole Company wishes to apply the Miller-Orr model to manage its cash investment. Seminole’s management has determined that the cost of either investing in or selling marketable securities is $200. By looking at Seminole Company’s past cash needs, they have determined that the variance of daily cash flows is $10,000. Seminole Company’s opportunity cost of cash, per day, is estimated to be 0.05%. Seminole management has figured, based on their experience dealing with the cash flows of the company, that there should be a cushion— a safety stock—of cash of $20,000. 1. How much is the variance of daily cash flows? (Use a number, no decimal value, no commas, no currency, no space) * 2. How much is the opportunity cost of cash, per day? (Use a number, must be in decimal form. eg. 6.3%/100, encode 0.063 , no commas, no currency, no space) * 3. How much is the cost per transaction? (Use a number, no decimal value, no commas, no currency, no space) * PLEASE ANSWER ALL QUESTIONS.…