An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. Objective Function z equals 3 x minus 4 y Constraints left brace Start 3 By 1 Matrix 1st Row 1st Column 2 less than or equals x less than or equals 6 2nd Row 1st Column y greater than or equals 3 3rd Row 1st Column x minus y greater than or equals minus 6 EndMatrix a. Graph the system of inequalities representing the constraints.
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An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. Objective Function z equals 3 x minus 4 y Constraints left brace Start 3 By 1 Matrix 1st Row 1st Column 2 less than or equals x less than or equals 6 2nd Row 1st Column y greater than or equals 3 3rd Row 1st Column x minus y greater than or equals minus 6 EndMatrix a. Graph the system of inequalities representing the constraints.
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- 1. Which of the following is the key identifier of a resource-allocation problem? I. Constraints with the form " Amount of resource used => Amount of resource available" II. Constraints with the form " Amount of resource used <= Amount of resource available" III. Constraints with the form " Level achieved => Minimum acceptable level" IV. All constraints have the form " Amount provided = Required amount" a. I only b. II only c. III only d. IV only e. At least two is correctDescribe the difference between discrete constraints and overlapping constraints?able 4-4 on page 197 shows a relation called GRADE REPORT for a university. Your assignment is as follows: Draw a relational schema and diagram the functional dependencies in the relation. In what normal form is this relation? Decompose GRADE REPORT into a set of 3NF relations. Draw a relational schema for your 3NF relations and show the referential integrity constraints (as shown in Figure 4-5 on page 163). Draw an ER-diagram for your answer to part d above.
- Name the five steps of the theory of constraints and explain the purpose of each. Which is the mostimportant step and why?Create a Crow’s Foot notation ERD to support the following business operations: Create a Crowsfoot notation ERD to support the following business operations: - A friend of yours has opened Marshfield Electronics and Repairs (MER) to repair smartphones, laptops, tablets, and MP3 players. She wants you to create a database to help her run her business. When a customer brings a device to MER for repair, data must be recorded about the customer, the device, and the repair (also referred to as repair request). Completing each repair request can involve multiple services (e.g. glass replacement, battery replacement, cleaning. Some services require parts. The customer’s name, address, and a contact phone number must be recorded. For the device to be repaired, the type of device, model, and serial number are recorded (or verified if the device is already in the system). Each repair request is given a reference number, which is recorded in the system along with the date of the request, and a…Constrained Optimization: One Internal Binding Constraint Patz Company produces two types of machine parts: Part A and Part B, with unit contribution margins of $100 and $200, respectively. Assume initially that Patz can sell all that is produced of either component. Part A requires two hours of assembly, and B requires five hours of assembly. The firm has 100 assembly hours per week. Required: 1. Express the objective of maximizing the total contribution margin subject to the assembly-hour constraint. Objective function: Max Z = $100 A + $200 B Subject to: fill in the blank 1 A + fill in the blank 2 B ≤ fill in the blank 3 2. Identify the optimal amount that should be produced of each machine part. If none of the components should be produced, enter "0" for your answer. Component A fill in the blank 4 units Component B fill in the blank 5 units Identify the total contribution margin associated with this mix.$fill in the blank 6 3. What if market conditions are such that Patz…
- Kathy receives her real estate license. Within a month of receiving her license, she gets a new job offer she can't refuse. She decides to continue to hold her license but not practice, do any real estate work, or collect any referrals at this time. She is willing to renew her license, do her continuing education, and pay the renewal fee for her license. What should Kathy do? ○ Opt not, renew her license or complete the educational requirements ○ Seek a voluntary inactive license. Seek an involuntary inactive license. Seek a broker who will not be upset if she does not work too hard.A department is preparing a trip for 80 volunteers to an area affected by the typhoon. The transportation company to transit the volunteers has 8 vans of 15 seats each and 5 vans of 10 seats, but only has 15 drivers available. The rental cost for a large van is $150 and $100 for a small van. Calculate how many vans of each type should be used for the trip for the least possible cost. Question 1: What objective function will be used to evaluate the minimum cost? Question 2: Given the feasible region, how many corner points does the LP model generate? Question 3: Given the graph of the LP model, which of the following is not a corner point? (0,0), (0,8), (0,15) (15,0) Question 4: How many constraints, excluding the non-negative constraints, will be considered for the determination of the optimal solution? Question 5: What is the minimum cost referred to in the problem?How do overlapping and disjoint constraints differ?
- Construct a model. Constraints and Objective function.EXPLAIN THE THEORY OF CONSTRAINTS AND THE PROBLEMS ABOUT WHAT TO PRODUCEFind the minimum and maximum values of z= 4x + 3y, if possible, for the following set of constraints. x+y≤9 -x+y≤5 2x-y≤ 14 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The minimum value is (Round to the nearest tenth as needed.) B. There is no minimum value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value is (Round to the nearest tenth as needed.) B. There is no maximum value.