Jolene invests her savings in two bank accounts, one paying 5 percent and the other paying 11 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 2814 dollars. How much did she invest at each rate? Amount invested at 5 percent interest is $ Amount invested at 11 percent interest is $
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- Product A is made from two B parts and one C part. Part B is made using one D part and Part C is made using 2 D parts. If 50 units of Product A are needed, then the number of units of D required would beABC Pharmaceutical Company is planning to produce exactly 40 kilograms of a mixture of new low-price generic multivitamin in which the basic ingredients, Ascorbic Acid and Thiamine, cost P 8.00 per kilo and P 15.00 per kilo, respectively. The present inventory of the company’s raw materials shows that they only have 12 kilos of Ascorbic Acid. The inventory level of the slow-moving Thiamine is more than sufficient so they want to dispose at least 10 kilos of it. Is the problem a maximization or a minimization one?Bay Oil produces two types of fuel (regular and super) by mixing three ingredients. The major distinguishing feature of the two products is the octane level required. Regular fuel must have a minimum octane level of 90, whereas super must have a level of at least 100. The cost per barrel, octane levels, and available amounts (in barrels) for the upcoming two-week period appear in the following table, along with the maximum demand for each end product and the revenue generated per barrel: Develop and solve a linear programming model to maximize contribution to profit. What is the optimal contribution to profit?
- Williams Optical Inc. is considering a new lean product cell. The present manufacturing approachproduces a product in four separate steps. The production batch sizes are 45 units. The processtime for each step is as follows: Process Step 1 5 minutesProcess Step 2 8 minutesProcess Step 3 4 minutesProcess Step 4 3 minutes The time required to move each batch between steps is 5 minutes. In addition, the time tomove raw materials to Process Step 1 is also 5 minutes, and the time to move completed unitsfrom Process Step 4 to finished goods inventory is 5 minutes.The new lean layout will allow the company to reduce the batch sizes from 45 units to 3 units.The time required to move each batch between steps and the inventory locations will be reducedto 2 minutes. The processing time in each step will stay the same.Determine the value-added, non-value-added, and total lead times, and the value-added ratio under the (a) present and (b) proposed production approaches. Round percentages to one…Zanda Drug Corporation buys three chemicals that are processed to produce two types ofanalgesics used as ingredients for popular over-the-counter drugs. The purchased chemicalsare blended for 2 to 3 hours and then heated for 15 minutes. The results of the process aretwo separate analgesics, depryl and pencol, which are sent to a drying room until their moisture content is reduced to 6 to 8%. For every 1,300 pounds of chemicals used, 600 pounds ofdepryl and 600 pounds of pencol are produced. After drying, depryl and pencol are sold tocompanies that process them into their final form. The selling prices are $12 per pound fordepryl and $30 per pound for pencol. The costs to produce 600 pounds of each analgesic areas follows:Chemicals $8,500Direct labor 6,735Overhead 9,900The analgesics are packaged in 20-pound bags and shipped. The cost of each bag is $1.30.Shipping costs $0.10 per pound.Zanda could process depryl further by grinding it into a fine powder and then molding thepowder into…Gordons Smoothie Stand makes three types of smoothies: blueberry lemon, orange swirl, and triple berry. Before all flavors are added, the smoothies go through a joint mixing process that costs a total of 43 per batch. One batch produces 21.75 cups of blueberry lemon smoothies, 29 cups of orange swirl smoothies, and 36.25 cups of triple berry smoothies. In addition, Gordon has studiously noted that the mixing process necessary for triple berry and blueberry lemon smoothies takes twice as long as it does for orange swirl smoothies. Allocate the joint costs of production to each product using the weighted average method.
- Rylon Corporation manufactures Brute cologne and Chanelle perfume. The raw material needed to manufacture each type of fragrance can be purchased for $60 per pound. Processing 1 pound of raw material requires 1 hour of laboratory time. Each pound of processed raw material yields 3 ounces of Regular Brute cologne and 4 ounces of Regular Chanelle perfume. Regular Brute can be sold for $140 per ounce and Regular Chanelle for $120 per ounce. Rylon also has the option of further processing Regular Brute and Regular Chanelle to produce Luxury Brute, sold at $360 per ounce, and Luxury Chanelle, sold at $280 per ounce. Each ounce of Regular Brute processed further requires an additional 3 hours of laboratory time and a $40 processing cost and yields 1 ounce of Luxury Brute. Each ounce of Regular Chanelle processed further requires an additional 2 hours of laboratory time and a $40 processing cost and yields 1 ounce of Luxury Chanelle. Each year, Rylon has 6000 hours of laboratory time…Chypre, Inc., produces a cologne mist using a solvent mix (water and pure alcohol) and aromatic compounds (the scent base) that it sells to other companies for bottling and sale to consumers. Chypre developed the following standard cost sheet: On May 2, Chypre produced a batch of 1,000 gallons with the following actual results: Required: 1. Calculate the yield ratio. 2. Calculate the standard cost per unit of the yield. (Round to the nearest cent.) 3. Calculate the direct materials yield variance. (Round to the nearest cent.) 4. Calculate the direct materials mix variance. (Round to the nearest cent.)Taylor Company produces two industrial cleansers that use the same liquid chemical input: Pocolimpio and Maslimpio. Pocolimpio uses two quarts of the chemical for every unit produced, and Maslimpio uses five quarts. Currently, Taylor has 6,000 quarts of the material in inventory. All of the material is imported. For the coming year, Taylor plans to import 6,000 quarts to produce 1,000 units of Pocolimpio and 2,000 units of Maslimpio. The detail of each products unit contribution margin is as follows: Taylor Company has received word that the source of the material has been shut down by embargo. Consequently, the company will not be able to import the 6,000 quarts it planned to use in the coming years production. There is no other source of the material. Required: 1. Compute the total contribution margin that the company would earn if it could import the 6,000 quarts of the material. 2. Determine the optimal usage of the companys inventory of 6,000 quarts of the material. Compute the total contribution margin for the product mix that you recommend. 3. Assume that Pocolimpio uses three direct labor hours for every unit produced and that Maslimpio uses two hours. A total of 6,000 direct labor hours is available for the coming year. a. Formulate the linear programming problem faced by Taylor Company. To do so, you must derive mathematical expressions for the objective function and for the materials and labor constraints. b. Solve the linear programming problem using the graphical approach. c. Compute the total contribution margin produced by the optimal mix.
- A machine part to be machined may be made either from an alloy of aluminum or steel. Thereis an order for 7,000 units. Steel costs ₱8.00 per kg, while aluminum costs ₱13.00 per kg. Ifsteel is used, the steel per unit weighs 100 grams; for aluminum, 25 grams. When steel isused, 60 units can be produced per hour; for aluminum, 100 units per hour with the aid of atool costing ₱800.00, which will be useless after the 8,000 units are finished. The cost of themachine and operator is ₱100.00 per hour. If all other costs are identical, determine whichmaterial will be more economical.Dakota Coffee Company produces Columbian coffee in batches of 7,500 pounds. The standard quantity of materials required in the process is 7,500 pounds, which cost $6.00 per pound. Columbian coffee can be sold without further processing for $9.80 per pound. Columbian coffee can also be processed further to yield Decaf Columbian, which can be sold for $11.60 per pound. The processing into Decaf Columbian requires additional processing costs of $6,300 per batch. The additional processing will also cause a 5% loss of product due to evaporation. a. Prepare a differential analysis dated December 11 on whether to sell regular Columbian (Alternative 1) or process further into Decaf Columbian (Alternative 2). If required, use a minus sign to indicate a loss.Gumbrecht Company has the following departmental manufacturing layout for one of its plants: A consulting firm has recommended a value stream with the following manufacturing cell: Required: 1. Calculate the total time it takes to produce a batch of 20 units using the traditional departmental manufacturing layout. 2. Using cellular manufacturing, how much time is saved producing the same batch of 20 units? Assuming the cell operates continuously, what is the production rate? Which process controls this production rate? 3. Assume the processing time of Casting is reduced to 9 minutes, while the times of the other processes stay the same. What is the production rate now, and how long will it take to produce a batch of 20 units if the cell is in a continuous production mode?