### Production Optimization ProblemTwo factories produce three different types of kitchen cutting appliances. The following table summarizes the production capacities, the numbers of each type of appliance ordered, and the daily operating costs for the factories. How many days should each factory operate to fill the orders at minimum cost? Find the minimum cost.*(Use $ x $ for Houston Texas factory and $ y $ for Salem Oregon factory.)*| | Houston Texas Factory | Salem Oregon Factory | Number Ordered ||---------------------|-----------------------|----------------------|----------------|| **Personal Blender**| 80/day | 20/day | 5390 || **Family Blender** | 15/day | 15/day | 1575 || **Food Processor** | 60/day | 25/day | 4550 || **Daily Costs** | $14,000 | $9,000 | |**Objective:**Minimize $ C = $ (cost function to be determined)**Constraints:**- Personal Blenders: $ \geq 5390 $- Family Blenders: $ \geq 1575 $- Food Processors: $ \geq 4550 $**Instructions:**Enter the solution to the simplex matrix below. If there is no solution, enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed, round days to 1 decimal place and cost to 2 decimal places.- Number of days to run the Houston Texas factory is _______- Number of days to run the Salem Oregon factory is _______- Minimum cost is $ _______

There are many ways to solve a linear programming problem. If there are only two variables in an…

Answered: Two factories produce three different…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In a manufacturing company, the fixed cost is 8,640. The cost of a labour per unit is RO 12, the cost of materials is RO 3 per unit and the cost of manufacturing overheads is RO 6 per unit. What is the total cost if the company produces 800 units? a. RO 8640 b. RO 25,440 c. RO 9600 d. RO 16,800
While trying to create the perfect breakfast for your children, you have determined that EXACTLY 22 grams of protein, 38 grams of carbohydrates, and 8.5 grams of fat send your kids to school in the best possible mood. Serving the following three items, how much of each should you serve to achieve your nutritional goals? Honey Nut Cheerios© nutritional data (per 0.75 cup serving) Calories 105 Sugar 9 grams Fat 1.5 grams Carbohydrates 22 grams Protein 2 grams Quaker Oatmeal© nutritional data (per 1 packet serving) Calories 170 Sugar 12 grams Fat 2 grams Carbohydrates 32 grams Protein 4 grams The last piece of their meal is uncured turkey bacon nutritional data (per 1 slice). Calories 40 Sugar 0 grams Fat 2 grams Carbohydrates 0 grams Protein 6 grams You have determined you should serve servings of cereal, servings of oatmeal, and servings of turkey bacon in order to serve your kids the food they like and meet your nutritional goals.
Example 3. Food I contains 10 units of vitamin A and 12 unit of vitamin R gram and cost 20 paise per gram. Food II contains 7 unit of vitamin A and 15 unis of vitamin B and costs 18 paise per gram. The daily requirement of vitamin A and R are atleast 80 units and 90 units respectively. Formulate the above as an LPP to per minimise the cost. CS Scanned with CamScanner
Garfield Company manufactures a popular brand of dog repellant known as DogGone It, which it sells in gallon-size bottles with a spray attachment. The majority of Garfield's business comes from orders placed by homeowners who are trying to keep neighborhood dogs out of their yards. Garfield's operating information for the first six months of the year follows: Month January Operating Cost Number of Bottles Sold 1,020 $ 10,710 February 1,450 15,660 March 1,740 15,900 April 2,350 19,890 3,360 27,490 3,800 34,800 May June Required: 3. Using the high-low method, calculate Garfield's total fixed operating costs and variable operating cost per bottle. 4. Perform a least-squares regression analysis on Garfield's data. 5. Determine how well this regression analysis explains the data. 6. Using the regression output, create a linear cost equation (y-a + bx) for estimating Garfield's operating costs.
The per-unit amount of three different production costs for Thunderbird, Inc., are as follows: Cost A(per unit) Cost B(per unit) Cost C(per unit) Production = 16,000 $32 24 $19.20 Production = 64,000 $8 8.00 $19.20 What type of cost is each?
A company makes three components for sale. The components are processed on two machines: a shaper and a grinder. The time required. (in minutes) on each machine are as follows: Component Shaper Time Grinder Time A 6 4 B 4 5 C 4 2 The shaper is available for 7200 min. and grinder for 6600 min. No more than 200 units of component C can be sold, but up to 1000 units of each of the other components can be sold. In fact the company has orders for 600 units of component A that must be satisfied. The profit contributions for components A, B and C are $8, $6 and $9 respectively. Formulate the problem for deciding the production quantities. Solve the problem using Excel Solver. Run the sensitivity analysis report in Excel Solver. What are the objective coefficient ranges (Range of Optimality) for each coefficient. Interpret these. What are the dual prices for each constraint? Interpret these. What are the right-hand side ranges (Range of Feasibility)? Interpret them. If more time is…
Kimberly works four days per week, Monday through Thursday. She rides the Metropolitan Transit System bus to and from work. The bus cost schedule is shown in the table below. If Kimberly has three weeks of vacation each year, what type of bus ticket should Kimberly buy to save the most money each year? Metropolitan Transit System Bus Pricing single ride: adult/youth: $2.25 senior/disabled/Medicare: $1.10 children 5 and under: free when accompanied by a paying adult 1-day pass: $5.00 2-day pass: $9.00 4-day pass: $15.00 14-day pass: $43.00 monthly pass: adult: $72.00 18 & under: $36.00 senior/disabled/Medicare: $18.00
Turnover is planned at 2.5 for the six-month peris starting February 1 through July 31. Average weekly sales for that period are $75,000. What average stock should be carried in this situation? $800,000 $900,000 O $720,000 $780,000
A retailer anticipates selling 1,300 units of its product at a uniform rate over the next year. Each time the retailer places an order for a units, it is charged a flat fee of $25. Carrying costs are $26 per unit per year. How many times should the retailer reorder each year and what should be the lot size to minimize inventory costs? What is the minimum inventory cost? They should order units The minimum inventory cost is $ times a year.

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