PRoBLEmS $3114.$ When applying LP to diet problems, the objectivefunction is usually designed toa. maximize profits from blends of nutrients.b$.$ maximize ingredient blends.c$.$ minimize production losses.d$.$ maximize the number of products to be produced.e$.$ minimize the costs of nutrient blends$\mathrm{.}5.$ The diet problem isa. also called the feed mix problem in agriculture.b$.$ a special case of the ingredient mix problem.c$.$ a special case of the blending problem.d$.$ all of the above$\mathrm{.}6.$ The selection of specific investments from among awide variety of alternatives is the type of LP problemknown asa. the product mix problem.b$.$ the investment banker problem.c$.$ the portfolio selection problem.d$.$ the Wall Street problem.e$.$ none of the above.Problems$8-1($Production problem$)$ Winkler Furniture manufac$-$tures two different types of china cabinets: a FrenchProvincial model and a Danish Modern model. Eachcabinet produced must go through three depart$-$ments: carpentry, painting, and finishing. The tableon this page contains all relevant information con$-$cerning production times per cabinet produced andproduction capacities for each operation per day,along with net revenue per unit produced. The firmhas a contract with an Indiana distributor to producea minimum of $300$ of each cabinet per week $($or $60$cabinets per day$).$ Owner Bob Winkler would liketo determine a product mix to maximize his dailyrevenue.$($a$)$ Formulate as an LP problem.$($b$)$ Solve using an LP software program orspreadsheet