At the grocery store Cliara$-$Mart, shelf space is limited and must be used effectively to INCREASE

PROFIT. As the newly hired analyst for the store, you are tasked with proposing how much shelf

space to allocate for each product.

Here are some details to help you formulate the problem:

A box of Grano nets $$1\mathrm{.}00$ in profit and a box of Wheatie $$1\mathrm{.}35.$

Two cereal items, Grano and Wheatie, compete for a total shelf space of $60f{t}^2.$ A box of Grano

occupies $0\mathrm{.}2f{t}^2$ and a box of Wheatie needs $0\mathrm{.}4f{t}^2.$

It is store policy to stock a minimum of $25$ boxes of each brand.

The maximum daily demands of Grano and Wheatie are $200$ and $120$ boxes, respectively.

You are contractually obligated to ensure that Grano fills at least $40\%$ of the total number of

boxes.

Formulate $($but do not solve$)$ a linear program for this problem.

$("$Formulation$"$ entails: $(1)$ clearly defining the decision variables, $(2)$ clearly stating the objective

function, and $(3)$ clearly formulating the constraints.$)$ IN EXCEL