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- A T-shirt company has three machines, I, II, and III, which can be used to produce two types of T-shirts, standard design and custom design. The following table shows the number of minutes required on each machine to produce the designs. Machine I Machine II Machine III Standard 1 1 1 Custom 1 4 5 For efficient use of equipment, the company uses machine I at least 240 minutes per day, machine II at least 540 minutes per day, and machine III at least 1000 minutes per day. Each standard T-shirt costs $8, and each custom T-shirt costs $9. Find the number of each type of T-shirt that should be produced to minimize costs. (For each answer, enter an exact number.) standard design : custom design : cost (in dollars) : $What is co-ordinated system?Describe the bounds, limitations, requirements, proportional relationships, and balance constraints: The Martinez Model Car Company produces four different radio-controlled model cars based on exotic production models: Ferrari, BMW, Lotus, and Tesla. Each model requires production in five departments: molding, sanding, polishing, painting, and finishing. The number of minutes required for each product in each department, the selling price per unit, and the minutes available in each department each day are shown below.
- Reflect on the concepts of linear and non-linear systems. Is/are there any occurring fact(s) that can be interpreted as linear systems and non-linear systems? What strategies can one use to compose a graph of linear systems and non-linear systems?Cell phones have become a necessity for many people throughout the world because modern society has a need for constant access to the internet and the information contained within it. The ability to access email and communicate with family are only two of the reasons for the increasing importance of cell phones. Cell phone manufacturers are constantly updating features to utilize new technologies in an effort to persuade customers to buy their latest models. However, buying a cell phone is a complicated decision and a consumer will probably spend a lot of money, depending on the features that are important to them. We will explore the variation/variability in cell phone retail prices in May 2021 with two datasets. For convenience, these two datasets have been combined into a single file for uploading into SALT. One of these datasets contains retail prices from Amazon, Walmart, and Best Buy in May 2021 of the top-rated models for 2021 as found in columns 1 and 2 of the dataset in SALT.…Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade X carpet uses 50 units of synthetic fiber, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade Y carpet uses 40 units of synthetic fiber, requires 28 hours of production time, and needs 15 units of foam backing. The profit per roll of Grade X carpet is $200, and the profit per roll of Grade Y carpet is $160. In the coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have been scheduled to provide at least 1800 hours of production time (overtime is a possibility). The company has 1500 units of foam backing available for use. What are the binding constraints of the feasible region of the optimal solution? Constraint 2 only Constraint 1 only…
- Task 2: Information requirement analysis a) Identify any two types of users for the proposed system. Then, explain what type of data you would like to collect from them during the requirement analysis process. b) What will be the requirement gathering technique suitable for collecting the required data from the users (any one) in task 2.a? Justify.i. formulate the LP Model; ii. identify the decision variables used in the model; and iii. determine the optimal solution using graphical method. A businessman is considering opening a small specialized trucking firm. To make the firm profitable, it must have a daily trucking capacity of at least 84,000 cubic feet. Two types of trucks are appropriate for the specialized operation. Their characteristics and costs are summarized in the table below. Note that truck two requires three drivers for long haul trips. There are 41 potential drivers available, and there are facilities for at most 40 trucks. The businessman's objective is to minimize the total cost outlay for trucks. Сарacity Drivers Truck Cost (cu. ft.) Needed Small $18,000 2,400 1 Large $45,000 6,000 3
