A hospital emergency room needs the following numbers of nurses: Day M T W T Min. number 3 8 7 7 nurses F S S 4 2 2 Each nurse should have two consecutive days off. How many full-time nurses are required and what is a good nurse schedule? Round your answer to the nearest whole number.
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- a. How many nurses should be working each month to most closely match patient forecasts?b. Suppose the hospital does not want to change its policy of not increasing the nursing staff size by more than 10 percent in any month. Suggest a schedule of nurse staffing over the four months that meets this requirement and also meets the need for nurses each month.b. The Healthy Food Restaurant, a 24-hour restaurant, faces changing requirements from hour tohour. More workers are needed for peak hours, and fewer are needed in between. The followingTable 6 (below) shows the worker requirement for the first 12 hours in the restaurant:Table 6. Staff Requirement at the Healthy Food RestaurantTime Period 10AM11AM12PM1PM2PM3PM4PM5PM6PM7PM8PM9PMRequirement 8 10 12 12 9 7 6 7 9 10 12 8AssignedOn DutyOverstaffed8(i) You are required to apply the first-hour principle to staff each hour with the required number ofcafeteria staff, showing how many staff are on duty each given hour, the number of staffyou have assigned to work each hour and any overstaffing for each hour. i. Schedule the staff to work in 8-hour shifts.The management of Hartman Company is trying to determine the amount of each of two products to produce over the coming planning period. The following information concerns labor availability, labor utilization, and product profitability: Labor-Hours Required Department A B с (hours/unit) Product 1 Product 2 Hours Available Production 1.00 0.30 Profit contribution/unit $30.00 0.20 38.27 0.35 0.20 0.50 $15.00 (a) Develop a linear programming model of the Hartman Company problem. Solve the model to determine the optimal production quantities of products 1 and 2. If required, round your answer to two decimal places. Product 1 Product 2 69.77 M 95 72.09 38 50 (b) In computing the profit contribution per unit, management does not deduct labor costs because they are considered fixed for the upcoming planning period. However, suppose that overtime can be scheduled in some of the departments. Which departments would you recommend scheduling for overtime? Dept A What is the upper limit of what…
- [The following information applies to the questions displayed below.] The following are the car repair shop data: TETE Ticket No. Work Ticket No. Work Ticket No. Work 1 Lube & oil 11 Battery 21 Battery Tires 2 Lube & oil 12 Tires 22 3 Brakes 13 Brakes 23 Brakes 4 Lube & oil 14 Transmission 24 Transmission Lube & oil 15 Brakes 25 Brakes Tires 16 Battery 26 Lube & oil 7 Tires 17 Brakes 27 Lube & oil 8. Brakes 18 Tires 28 Lube & oil 9. Brakes 19 Tires 29 Tires 10 Lube & oil 20 Lube & oil 30 Lube & oil11 Use the Gauss–Jordan method to find the inverse of the matrix 0 1 0 L0 1An electric cintractors record during the last five weeks indicate the number of job requests predict the numver of request for week 6 using each of these methids 1. Naive 2 four period moving average Exponential smoothing with alpha=.30 usr 20 for week 2 forcast Where week 1 n request is 20 week 2 request is 22 week 3 request is 18 week 4 request is 21 week 5 request is 22
- A company makes two products (A and B). Each product requires time on two machines 1 and 2. the specifications for each product are as follows Product A Product B Processing time on machine 1 (hrs/unit) Processing time on machine 2 (hrs/unit) Material and labor cost (Sh./ unit) Selling price (Sh./ unit) Maximum possible sale (units) 2 1 2 14 15 16 18 130 150 The amount of time available on machine 1 is 360 hrs and on machine 2 is 260 hrs. Using simplex method determine the number of product A and B, which should be sold in order to maximize total contribution for the company.l AT&T ? C 2:01 PM ... mple Practice Math Flov Sample 1 You have an upstream Picking department that feeds two downstream packing departments: A and B. 75% of your Pick volume goes to department A, which has a packing rate of 150 units per labor hour (uph). 25% of the Pick volume goes to department B, which is for large items, and has a pack rate of 25 units per labor hour. Your pickers pick both large and small items throughout the day at an overall average rate of 100 units per labor hour. You have 25 people today for all 3 departments, and you absolutely must pack 7,500 units in department A to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer Department % of Rate Реople Daily volume| (uph) volume Pick 100% 100 Pick A 75% 150 ? 7,500 Pick B 25% 25 ?4. Minimize subject to X X c = x + 2y + 3y Y 2x + ΛΙ ΛΙ ≥ 0, y ≥ 0. 30 30
- Maximize P = x + 4y − 2z subject to 3x + y − z ≤ 40 2x + y − z ≤ 20 −x + y + z ≤ 40 x ≥ 0, y ≥ 0, z ≥ 0The smoothing constant value must be between O a. 10 and 100 O b. 0.0 and 1.0 O c. 1.0 and 10.0 o d. 1 and 10How does seasonal variability in demand affect the l ow and waiting time through a process? How might a company respond to reduce the effect of this variability?