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Question $5(30$ points$)$

A catering company in Sacramento provides supply rentals for various large$-$scale events $($such as weddings$)$ in

the greater Sacramento region. Let us focus on napkins as the product of interest. The company must have the

following number of clean napkins at the beginning of each of the next four days:

After being used, a napkin can be cleaned by one of two methods: quick service or regular service. Quick

service costs $50$ cents per napkin, and a napkin cleaned via quick service is available for use the day after it is

last used. Regular service costs $30$ cents per napkin, and these napkins can be reused two days after they are last

used. The cost of purchasing new napkins is $95$ cents per napkin. Determine how to minimize the cost of

meeting the demand for napkins during the next four days. You can use either R or Excel to formulate and solve

the model. Mathematical formulation is needed and will carry credit. The submission requirement is the same as

shown on the notebook.