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- Schmidt Industries makes four different snake traps; the Harlan, the Gaylen, the Leah, and the Matthew. The Harlan sells for $200 and has $40 in parts and $40 in labor; the Gaylen sells for $150 and requires $30 in parts and $30 in labor; the Leah sells for $100 and has $20 in parts and $20 in labor, and the Matthew sells for $75 but requires only $10 of parts and $10 of labor. Schmidt Industries has four machines (we'll call them A, B, C, and D for convenience) that are used in the production of each of these products. Each of these machines is available for 40 hours a week and there is no setup time required when shifting from the production of one product to any other. The processing requirements to make one unit of each product are shown in the table. Processing Time on Each Machine in Minutes Model Machine A Machine B Machine C Machine D Harlan 10 15 15 5 Gaylen 10 10 10 10 Leah 5 10 15 10…A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and at least 40 units 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit. A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and each brand Y capsule costs P9.00, how many capsules should the patient take each day to minimize the costs?A vice president and a secretary are to be chosen from an organization consisting of 30 people. How many different choices of officers are possible if (there are no restrictions); 1. Alice will serve only if she is president;2. Bob and Cath will serve together or not at all;3. Divine and Ethel will not serve together?
- According to the XYZ Apartment Rental Company ER diagram, which of the following is true? Each building must have more than one builder Each building must have multiple apartments Each building must have at least 8 apartments Each building must have more than 2 apartments Answer: ____Player A begins by placing a checker on the lower left-hand corner of a checkerboard (8 by 8 squares). Player B places a checker one square to the right or one square up or one square diagonally up and to the right of Player A’s checker. Then A places a checker one square to the right or one square up or one square diagonally up and to the right of Player B. The players continue alternating moves in this way. The winner is the player who places a checker in the upper right corner. Would you rather be Player A or Player B? a) For this week’s homework, you are to find a winning strategy and express that winning strategy in a way that is easy to understand. b) Now generalize the board to any sized rectangle (mxn). What is your winning strategy now?The Mechanical Engineering department has a student team that is designing a formula car for national competition. The time required for the team to assemble the first car is 100 hours. Their improvement (or learning rate) is 0.8, which means that as output is doubled, their time to assemble a car is reduced by 20%. Use this information to determine: the time it will take the team to assemble the 10th car. Create an excel spreadsheet having the following table. You must show the formula used in the excel sheets to calculate values in the columns. Plot Number of Units vs Time (in hours) and Number of Units vs Cumulative Time (in hours) in the same plot. Use different colors to distinguish the data.
- The Mechanical Engineering department has a student team that is designing a formula car for national competition. The time required for the team to assemble the first car is 100 hours. Their improvement (or learning rate) is 0.8, which means that as output is doubled, their time to assemble a car is reduced by 20%. Use this information to determine: the time it will take the team to assemble the 10th car. Create an excel spreadsheet having the following table. You must show the formula used in the excel sheets to calculate values in the columns. Plot Number of Units vs Time (in hours) and Number of Units vs Cumulative Time (in hours) in the same plot. N (no of Units) Time to Produce Nth Cumulative Time (1 to N) 1 2 3 4 5 6 7 8 9 10You are the district manager for the NCDNR aka the Game Wardens. You staff your law enforcement officers such that they have a 10 hour work day in a single shift. This means that they work 4 days in a row and have 3 consecutive days off. For your district, you need to make sure that you have at least: 10 working on Saturday, 0 on Sunday, 3 on Monday, 3 on Tuesday, 5 on Wednesday, 4 on Thursday, and 8 on Friday. Your current compensation plan approved by the state is: Days off M,T,W T,W,Th W,Th,F Th,F,Sa F,Sa,Su Sa,Su,M Su,M,T Wage 3000 2900 2820 2750 2600 2700 2720 Questions: What is the objective function value? How many employees do you have? How many people show up for work on Sunday, despite this not being necessary according to the scheduling requirements?A machine shop manufactures two types of bolts. The bolts require time on each of the three groups of machines, but the time required on each group differs, as shown in the table below. Type I Type IIMachine 1 0.2 min 0.2 minMachine 2 0.6 min 0.2 minMachine 3 0.04 min. 0.08 min Production schedules are made up one day at a time. In a day, 300, 720, and 100 minutes are available, respectively, on these machines. Type I bolts sell for 15¢ and type II bolts for 20¢. (a) How many of each type of bolt should be manufactured per day to maximize revenue?(b) What is the maximum revenue?(c) Suppose the selling price of type I bolts began to increase. Beyond what amount would this price have to increase before a different number of each type of bolts should be produced to maximize revenue?