Question: Entered Answer Preview Result 3540 3540 incorrect The answer above is NOT correct. (2 points) Consider the LP (using urs variables) The Niner Bus department

Entered Answer Preview Result 3540 3540 incorrect

Entered Answer Preview Result 3540 3540 incorrect The answer above is NOT correct. (2 points) Consider the LP (using urs variables) The Niner Bus department currently employees 50 drivers. In the coming 5 years they are going to need at least 60, 70, 50, 65, and 75 (respectively) drivers (having too many is acceptable, but not too few) The annual salary for a driver is 10 (units of $ 1000) while it costs 4 to recruit a driver and it costs 8 to release a driver. Formulate and solve the LP (using urs variables as described in the hint) to determine the minimum cost. The minimum 5 year total cost for paying and hiring/firing drivers is 3540 Hint: Let 21, 22, 23, 24, 25 be the decision variables for the number of drivers to be hired (fired if negative) at the beginning of year i. A useful optional variable is d; for the number of drivers working in year i. Clearly d2 = di +12. the formula for z will be 10 % di +45 3:+8 613!! Hint: #5: this is similar in that x1, x2 etc are urs variables I already put in the hint what the formula for z will be start writing down the constraints that Niner Bus needs at least such and such many drivers each year using the formula with described variables (ie. d1, d2 being the actual number of drivers that year).g. to start they have 50 drivers so d1 = 50 + x1 (add the number they hire) and d1 >= 60 there's your first two constraints then move on to year 2: d2 = d1 + x2 (in year 2 they had d1 and then hired or fired x2 drivers) and of course d2 >= 70 after setting those up with urs variables x1,x2,... do the urs method and replace x1 by x1'- x1" and x2 by x2' - x2" in all the constraints the formula for z now makes sense

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