The space shuttle is about to go up on another flight.With probability pt(z), it will use z type t fuel cells duringthe flight. The shuttle has room for at most W fuel cells. Ifat any time during the flight, all the type t fuel cells burnout, a cost ct will be incurred. Assuming the goal is tominimize the expected cost due to fuel cell shortages, set upa dynamic programming model that could be used todetermine how to stock the space shuttle with fuel cells.There are T different types of fuel cells.

How can we interpret non-basic slack variables within an optimal solution? Select one or more: as the amount of uninvested money cannot be interpreted as possible increase in risk as exceeding the minimum requirement to invest in gold as the annual return on the total money invested as the difference between invested money in silver and in platinum

Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day. 0 Graph the system of inequalities, remember to include x >0 and y > 0 in your graph to get full credit. You will need to include four lines. 25 24 VI

The Harriet Hotel in downtown Boston has 100 rooms that rent for $150 per night. It costs the hotel $30 per room in variable costs (cleaning, bathroom items, etc.) each night a room is occupied. For each reservation accepted, there is a 5% chance that the guest will not arrive. If the hotel overbooks, it costs $200 to compensate guests whose reservations cannot be honored. How many reservations should the hotel accept if it wants to maximize the average daily profit?