1. Moondollar coffee has just bought a new coffee machine. The machine is heavily automated. The beans are stored in seven different containers on the machine. Since fresh coffee is a trademark of Moondollar any unused coffee in the canisters is drained after 60minutes. The bean containers hold the following beans: House Blend, Antigua, Kenya, Kona, Maragogype, Tarrazu, and Hornet Sting High Caffeine Blend. Heating function: Water pipes are connected to the inputs and water is pumped to the heating coils. Water is heated to the ideal brewing temperature and then dripped over the grounds. The supply of heated water is unlimited. Grinding function: The machine grinds the beans and fills the coffee grounds baskets, one for each variety, before brewing. The grinding function fills a basket in 2 minutes. Each basket serves one 12-cup drip brew. (Assume a uniform consumption rate for each variety.) Only one variety can be ground at a time