Question $3($facility location using optimization:

Drylce, Inc., is a manufacturer of air conditioners that has seen its demand grow

significantly. The company anticipates nationwide demand for the next year to be $180,000$

units in the South, $120,000$ units in the Midwest, $110,000$ units in the East, and $100,000$

units in the West. Managers at Drylce are designing the manufacturing network and have

selected four potential sites$-$New York, Atlanta, Chicago, and San Diego. Plants could

have a capacity of either $200,000$ or $400,000$ units. The annual fixed costs at the four

locations are shown in Table $5-6,$ along with the cost of producing and shipping an air

conditioner to each of the four markets. Where should Drylce build its factories and how

large should they be$?$DryIce, Inc., is a manufacturer of air conditioners that has seen its demand grow significantly. The company anticipates nationwide demand for the next year to be $180,000$ units in the South, $120,000$ units in the Midwest, $110,000$ units in the East, and $100,000$ units in the West. Managers at DryIce are designing the manufacturing network and have selected four potential sites$$New York, Atlanta, Chicago, and San Diego. Plants could have a capacity of either $200,000$ or $400,000$ units. The annual fixed costs at the four locations are shown in Table $5-6,$ along with the cost of producing and shipping an air conditioner to each of the four markets. Where should DryIce build its factories and how large should they be$?$