Question: could you help please 4-6 4. Each day, workers at the Gotham City Police Department workwo 6-hour shifts chosen from 12 AM to 6 AM,

could you help please 4-6 could you help please 4-6 4. Each day, workers at

4. Each day, workers at the Gotham City Police Department workwo 6-hour shifts chosen from 12 AM to 6 AM, 6 AM to 12 PM, 12 PM to 6 PM, and 6 PM to 12 AM The following her of workers is needed during each shift Workers whose two shifts are consecutive Sipher workers whose shifts are not consecutive are paid $18 per hour. Formulate an LP that can be used to minimize the cost of meeting the daily workforce demands of the Gotham City Police Dept (HINT: Think of all possible combinations of shifts) Shifts Required workers 12 AM to 6 AM 15 workers 6 AM to 12 PMS workers 12 P.M. to 6 PM 12 workers 6 P.M. to 12 AM 6 workers 5. The city of Hafr Al Batin is in process of approving a construction site for a new 220.000 stadium Two sites have been proposed. The table provides data about proposed (contiguous) properties in both sites together with the acquisition cost. Site 1 Site 2 certy Area (1000ft) Cost (51000) Area (1000ft) Cost (51000) 2800 21000 1900 2150 2800 1850 2500 12950 1000 Partial acquisition is possible. At least 80% of property 4 must be acquired if sitel is selected, and at least 60% of property is acquired if site 2 is selected. Although siel property is more expensive the construction cost is less than site 2 because of better existing infrastructure at site 1. Construction cort at site is $30 million and at site 2 is $32 million. Determine LP model(s) to decide which it is cheaper for constructing the new stadium. (HINT: Only after you spend ce week and cannot figure Consume A refinery manufactures two grades of jet fuel, Jl and 12, by blending four types of gasoline, A,B,C and D. Fuel lunes gasolines A, B, C and D in ratio of 1:1:24 and Focuses pasolines AR Cand D in ratio of 22:1:1. The supply limits for A, B, C, and are 1000, 1200, 900 and ISO de respectively. The cost per bl for gasolines for A, B, C, and Dare S120, 590, $100 and SISO, respectively. Fuels Jl and 12 sell for $200 and $250 per bhl, respectively and minimum demand for Fuel and J2 is 200 and 400 bb day, respectively. Develop a LP model to determine the optimum production mix for Jl and 12 fuels. ISHT &T

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