Big Sur Taffy Company makes two types of candies: saltwater taffy and special home$-$recipe taffy. Big Sur wants to use a more quantitative approach to decide how much saltwater and special taffy to make each day. Molasses, honey, and butter are the main ingredients that Big Sur uses to make taffy candies. For a pound of saltwater taffy, Big Sur uses $8$ cups of molasses, $4$ cups of honey, and $0\mathrm{.}7$ cup of butter, and the selling price is $$7\mathrm{.}50/$lb For a pound of special taffy, Big Sur uses $6$ cups of molasses, $6$ cups of honey, and $0\mathrm{.}3$ cup of butter, and the selling price is $$8\mathrm{.}85/$lb Taffy candies are made fresh at dawn each morning, and Big Sur uses ingredients from a very exclusive supplier who delivers $400$ cups of molasses, $300$ cups of honey, and $32$ cups of butter once a day

before sunrise.

a$.$ Formulate and solve the LP model that maximizes revenue given the constraints. What is the maximum revenue that Big Sur can

generate? How much saltwater and special taffy does Big Sur make each day?

Note: Round your answers to $2$ decimal places.

b$.$ Identify the binding and nonbinding constraints and report the slack value, as appropriate.

Note: If the answer to constraints is "Non$-$Binding" enter slack value to $2$ decimal places or leave cells blank. c$.$ Report the shadow price and the range of feasibility of each binding constraint. d$.$ What is the range of optimality for the objective function coefficients?