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  • 1)Filing cabinet A has a footprint (floor space requirement) of 4 square ft. Cabinet B has a footprint of 6 square feet. The office only has 30 square feet that can be used for cabinets. Write a constraint on the number of cabinets that should be installed.

  • 2)An aid agency is buying generators for storm survivors. The resettlement area requires at least 15,000 kWh. Generator A is rated at 150 kWh, generator B is rated at 175 kWh. Write a constraint prescribing the number of generators of each type that can be purchased.
  • 3) Larry’s Yard Care mows lawns, trims hedges and winterizes flower beds. The company charges $15 per hour for mowing, $12 per hour for trimming, and $25 per hour for winterizing. Write an hourly income function for the company, in terms of the number of jobs, by type, that were underway during that hour.
  • 4) Thunder Garage assembles diesel engines for cars and trucks. The car engines have four cylinders, the truck engines have six. Each cylinder in a diesel engine requires a separate fuel injector. The supplier can only provide 1300 injectors per month. Write a constraint prescribing the number of each type engine that can be produced

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