Answer all questions with Excel and please show formulas!

Coach Night is trying to choose the starting lineup for the basketball team. There are seven candidate players who have been rated on a scale of 1 (poor) to 3 (excellent) according to their ball handling, shooting, rebounding, and defensive abilities, listed in the table below. The positions that each player is allowed to play is as follows: Play 1,3,5,7 can play Guard; Player 3,4,5,6,7 can play Forward; Player 2,4,6 can play Center. Exactly five players must be chosen for the starting line-up, and must also satisfy the following restrictions: - At least three members must be able to play guard, at least two members must be able to play forward, and at least one member must be able to play center. - The total ball-handling, shooting, and rebounding level of the starting lineup must each be at least 9. - Either payer 2 or player 3, or both of them, must be chosen for the starting lineup. Given these constraints, Coach Night wants to decide which players to choose to maximize the total defensive ability of the starting team. (a) Formulate appropriately as an IP model. Provide the algebraic model formulation in your submission. Must be neatly presented. (b) Input and solve the formulation using Excel. Sunco Oil produces oil at two wells. Well 1 can produce up to 150,000 barrels per day, and well 2 can produce up to 200,000 barrels per day. It is possible to ship oil directly from the wells to Sunco's customers in Los Angeles and New York. Alternatively, Sunco could transport oil to the port of Mobile and Galveston and then ship it by tanker to New York or Los Angeles. Los Angeles requires 160,000 barrels per day, and New York requires 140,000 barrels per day. The costs of 2 shipping per 1000 barrels between various locations are shown in the table below, where a blank indicates shipments that are not allowed. Use Excel to determine how to minimize the transportation costs in meeting the oil demand of LA and NY. You must indicate how many barrels are transported on each selected arrow (arc) and indicate the total shipping cost. A truck must travel from New York to Los Angeles. As shown in the diagram, several routes are available. The number associated with each arc is the number of gallons of fuel required by the truck to traverse the arc. Use Excel model to determine the route from New York to Los Angeles that uses the minimum amount of gas. (Hint: Similar to the short-route problem). In the excel model, use a single letter or number index to denote the cities instead of typing the full city names. The famous Y. S. Chang Restaurant is open 24 hours a day. Waiters and busboys report for duty at 3AM, 7AM, 11AM, 3PM, 7PM, or 11PM, and each works an 8-hour shift. The following table shows the minimum number of workers needed during the six periods into which the day is divided. Chang's scheduling problem is to determine how many waiters and busboys should report for work at the start of each time period to minimize the total staff required for one day's operations. (Hint: Let Xi equal the number of waiters and busboys beginning work in time period i, where i=1,2,3,4,5,6.) Use Excel model to determine how to minimize the number of total staff required for Chang Restaurant's daily operation