6. A farmer wants to start growing broiler chickens on his farm. he realizes that he needs to start with 8000 birds. Each bird will feed a ratio of 8:20: 4 respective of their starter, grower and finisher. the price of starter is k570, grower 525 and finisher 490 per bag. assuming the birds will have a mortality survival of 90% and the total cost of the business is 20% the revenues generated from the sales of birds at k90 each. a. calculates the profit b. given the profit function of 20x-xy-1.5y^2+25y, calculate the profit c. compare the two profits calculated above and give a management decision of the farm
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6. A farmer wants to start growing broiler chickens on his farm. he realizes that he needs to start with 8000 birds. Each bird will feed a ratio of 8:20: 4 respective of their starter, grower and finisher. the price of starter is k570, grower 525 and finisher 490 per bag. assuming the birds will have a mortality survival of 90% and the total cost of the business is 20% the revenues generated from the sales of birds at k90 each.
a. calculates the profit
b. given the profit function of 20x-xy-1.5y^2+25y, calculate the profit
c. compare the two profits calculated above and give a management decision of the farm
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- 8. Palmer Jam Company is a small manufacturer of several different jam products. One product is an organic jam that has no preservatives, sold to retail outlets. Susan Palmer must decide how many cases of jam to manufacture each month. The probability that demand will be 5 cases is 0.05, for 6 cases it is 0.30, for 7 cases it is 0.50, and for 8 cases it is 0.15. The cost of every case is $45, and the price Susan gets for each case is $90. Unfortunately, any cases not sold by the end of the month are of no value as a result of spoilage. Part 2 Based on the given information, Susan's conditional profits table for jam is: Demand 5 cases 6 cases 7 cases 8 cases Produce p=0.05 p=0.30 p=0.50 p=0.15 5 cases __________ ___________ ___________ ____________ b) The number of cases that Susan should produce to achieve maximum expected value (EMV) is _____ cases. c) The EMV of stocking this number of cases is $_______.Assume the demand for a company’s 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 soldfor $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.3-26 Megley Cheese Company is a small manufacturer of several different cheese products. One of the products is a cheese spread that is sold to retail outlets. Jason Megley must decide how many cases of cheese spread to manufacture each month. The probability that the demand will be six cases is 0.1, seven cases is 0.3, eight cases is 0.5, and nine cases is 0.1. The cost of every case is $45, and the price that Jason gets for each case is $95. Unfortunately, any cases not sold by the end of the month are of no value, due to spoilage. How many cases of cheese should Jason manufacture each month?
- 4. A publisher prints copies of a popular weekly tabloid for distribution and sale. The fixed costs are $500 per print run, with each copy printed costing an additional $0.40. If C(q) is the cost function (in $) of the price of the print run as a function of copies printed, what is the formula for C(q)? Select one: a. C(q) = 500 + 0.4q b. C(q) = 500q + 0.4 c. C(q) = (500 + 0.4)q d. C(q) = 500 - 0.4q e. C(q) = 500q - 0.4 5. A hot dog vendor sells an average of 50 hot dogs during a Little League baseball game. If the sales are Normally distributed with a standard deviation of 7 hot dogs, what is the probability the vendor will sell between 45 and 65 hot dogs? Select one: a. 74.50% b. 92.36% c. 99.78% d. 174.50% e. 2.14 f. -0.71 g. 0.71A salesperson in a large bicycle shop is paid a bonus ifhe sells more than 4 bicycles a day. The probability ofselling more than 4 bicycles a day is only .40. If the numberof bicycles sold is greater than 4, the distribution of sales isas shown in Table 20. The shop has four different models ofbicycles. The amount of the bonus paid out varies by type.The bonus for model A is $10; 40% of the bicycles sold areof this type. Model B accounts for 35% of the sales andpays a bonus of $15. Model C has a bonus rating of $20 andmakes up 20% of the sales. Finally, model D pays a bonusof $25 for each sale but accounts for only 5% of the sales.Develop a simulation model to calculate the bonus asalesperson can expect in a day.Player A and B play a game in which each has three coins, a 5p, 10p and a 20p. Each selects a coin without the knowledge of the other’s choice. If the sum of the coins is an odd amount, then A wins B’s coin. But, if the sum is even, then B wins A’s coin. Find the best strategy for each player and the values of the game.
- Topgun Records and several movie studios have decided to sign a revenue-sharing contract for CDs. Each CD costs the studio $2 to produce. The CD will be sold to Topgun for $3. Topgun, in turn, prices a CD at $15 and forecasts demand to be normally distributed, with a mean of 5,000 and a standard deviation of 2,000. Any unsold CDs are discounted to $1, and all sell at this price. Topgun will share 35 percent of the revenue with the studio, keeping 65 percent for itself. How many CDs should Topgun order? How many CDs does Topgun expect to sell at a discount? What is the profit that Topgun expects to make? What is the profit that the studio expects to make? Repeat parts (a)–(d) if the studio sells the CD for $2 (instead of $3) but gets 43 percent of revenue.Suppose that a dam was built at a very high cost. At the time of construction, the estimated cost energy produced by the dam was £10 per unit. Of these £10, £5 contributed to the amortization of the initial investment and the other £5 to the variable recurrent cost. Now suppose that after the completion of the investment, a new energy source is discovered that allows the production of energy at a cost of £7 per unit. Should the dam be abandoned in favour of the alternative energy source? Please elaborate on your answer.The company Litely sells 1,350 electrical switches per year and at the same time, it makesorders of 300 switches. They don’t have any safety stock. Litely calculates that they have a 50%of probabilities of not having stockout in each cycle. The probability of stockout of 5, 10 and 15units is 0.2, 0.15 and 0.15 respectively. It has been calculated a production cost per unit andyear of 5 dollars and of 6 dollars in case of stockout (3 dollars of profit loss per switch andadditionally 3 more dollars of future sold loss). Which should Litely use as the level of safetystock for this product? (Consider a safety stock of 0, 5, 10 and 15 units).
- 46. You are making several runs of a simulation model,each with a different value of some decision variable(such as the order quantity in the Walton calendarmodel), to see which decision value achieves thelargest mean profit. Is it possible that one value beatsanother simply by random luck? What can you do tominimize the chance of a “better” value losing out toa “poorer” value?Palmer Jam Company is a small manufacturer of several different jam products. One product is an organic jam that has no preservatives, sold to retail outlets. Susan Palmer must decide how many cases of jam to manufacture each month. The probability that demand will be 7 cases is 0.10, for 8 cases it is 0.25, for 9 cases it is 0.45, and for 10 cases it is 0.20. The cost of every case is $50, and the price Susan gets for each case is $90. Unfortunately, any cases not sold by the end of the month are of no value as a result of spoilage. Based on the given information, Susan's conditional profits table for jam is: Demand 7 cases 8 cases 9 cases 10 cases Produce p=0.10 p=0.25 p=0.45 p=0.20 7 cases enter your response here enter your response here enter your response here enter your response here 8 cases enter your response here enter your response here enter your response here enter your response here…Palmer Jam Company is a small manufacturer of several different jam products. One product is an organic jam that has no preservatives, sold to retail outlets. Susan Palmer must decide how many cases of jam to manufacture each month. The probability that demand will be 7 cases is 0.10, for 8 cases it is 0.25, for 9 cases it is 0.45, and for 10 cases it is 0.20. The cost of every case is $50, and the price Susan gets for each case is $90. Unfortunately, any cases not sold by the end of the month are of no value as a result of spoilage. Based on the given information, Susan's conditional profits table for jam is: Demand 7 cases 8 cases 9 cases 10 cases Produce p=0.10 p=0.25 p=0.45 p=0.20 7 cases enter your response here enter your response here enter your response here enter your response here 8 cases enter your response here enter your response here enter your response here enter your response here…