C&A makes $5$ different flavors of ice cream. The machine must be set up properly for making each flavor. Setup time is $45$ minutes and production time is $30$ minutes for each flavor of ice cream $($per gallon$).$ Demands $($in gallons per hour$)$ for the ice cream are given below: Vanilla Cherry Strawberry Chocolate Mint $|0\mathrm{.}30\mathrm{.}20\mathrm{.}10\mathrm{.}50\mathrm{.}1$ How many gallons of ice cream should C&A produce in each production cycle to minimize inventory while satisfying demand?$\backslash$Omicron $281\mathrm{.}25\backslash$Omicron $16\mathrm{.}75\backslash$Omicron $112\mathrm{.}50\backslash$Omicron $11\mathrm{.}25$