Problem Statement The plant manager of a toy manufacturing plant has been given an order for 10,000 new toys with a shipping date 10 weeks from now. He currently has 8 machines that produce 100 toys per week per machine, assuming one shift of 40 hours per week. He needs to know if the machines need to run overtime to meet the order and if so how much overtime is necessary. The goal is to minimize overtime. Calculate how many toys the 8 machines will produce in 10 weeks working one 40 hour shift. Do the machines need to run additional shifts (each shift for each machine is 40 hours per week)? Write a formula for calculating the number of weeks with an extra shift to meet this order in 10 weeks. Now, in actuality, the machines have been known to produce on the average 2 defective toys in a week (one shift) per machine. Also, the machines periodically require maintenance. This occurs on the average of 1 machine down for maintenance per week (one shift), with the maintenance requiring 1 hour. With these uncertainties calculate the necessary extra weeks of overtime to meet the order.

Quiz 5 (Program Verification) Q1 1 Point Which of the following is a valid Hoare Triple? (x 0) ✪ (x 2) ○ (x3) {xx * 2} (x 0) {xx+1} ○ (x> 0) {x x* x} (x=x+1) (x0)

C++ programming language problem

Real-time Scheduling: Select all of the following statements that are true. Soft real-time systems must guarantee that real-time tasks will be serviced in accord with their deadline requirements. A periodic task is a job that is repeated regularly. A real-time task's CPU utilization can be calculated by dividing its period length by its service time for one period. Schedulability refers to a property indicating whether a real-time system (a set of real-time tasks) can meet its deadlines. Real-time systems apply an admission-control algorithm in order to decide whether a task is admitted (guaranteeing that it will complete on time) or rejected (if it cannot guarantee that the task will be serviced by its deadline).

Q1) A farm has four zones for planting: 1, 2, 3 and 4. Each zone has sensor (S) that indicates whether the soil is dry or not, logic 1 means dry soil and supplying water is required. When $1 is logic 1 this means it is required to supply 2000 l/s, S2 is logic 1 it is required to pump 4000 l/s, S3 is logic 1 then it is required to deliver 6000 l/s, and S4 is logic 1 means 8000 l/s is required. The main station of the supplying water includes six pumps: P1, P2, P3, P4, P5 and P6. The capacities of theses pumps are 2000 1/s, 2000 1/s, 4000 l/s, 4000 l/s, 4000 l/s and 4000 l/s, respectively. Using one 8x1 MUX, design a logic circuit can be used to control the operation of the pumps depending on the water requirements where the supplied water should be equal to or greater than the required water.

Maximization Problem: Production Optimization A metallurgical company produces three types of metal products: A, B and C. These Products require different amounts of resources to manufacture. The company has limitations on the number of labor hours, machines available and raw Materials. The goal is to maximize total profit. Variables X₁: Quantity of products A to produce. X₂: Quantity of products B to produce. X3: Quantity of products C to be produced. X4: Hours of labor used. X5: Hours of machines used. X: Amount of raw material used for A. X7: Amount of raw material used for B. X₂: Amount of raw material used for C. Xg: Upper limit on total product production. X10: Upper limit on the number of work hours available. Objective Function Maximize Z = 5x, +8x₂+6x3 Restrictions 2x₁+4x₂+3x3 ≤ x₂ (Labor restriction) 3x₁+2x₂+5x3 ≤ X5 (Machine restriction) X ≤ 5x₂ (Raw material for A) 2x, ≤ 6x₂ (Raw material for B) 3x ≤ 4x, (Raw material for C) X₂+x₂+x3 ≤ x₂ (Limit on total production) X4 SX₂0…

Sub- CSE