Unilab is planning to produce exactly 40 kilograms of a mixture of new low-price generic multivitamin to stimulate the immunity of people against Covid-10 virus. The basic ingredients are Ascorbic Acid and Zinc. Ascorbic Acid cost P 8.00 per kilo and Zinc P 15.00 per kilo, respectively. The present inventory of the companys raw materials shows that they only have 12 kilos of Ascorbic Acid. The inventory level of the slow-moving Zinc is more than sufficient so they want to dispose at least 10 kilos of it.

What is the optimal amount of Zinc that will be needed for mixing?

How much Ascorbic Acid will be left unused after the optimal quantity of multivitamins is produced?

How many resource constraints are limiting the LP problem?

What is the objective function of this linear programming (LP) problem?

-To minimize the cost of production of the multivitamins

-To minimize the use of ascorbic acid because they only have limited stocks for it

-To maximize the production quantity of the multivitamins

-To maximize the addition of zinc since they have more than enough of it