Two of the ingredients, oats and rice, provide vitamins A and B. How many ounces

Question

Two of the ingredients, oats and rice, provide vitamins A and B. How many ounces of oats and rice it should include in each box of cereal to meet the minimum requirements of 45 milligrams of vitamin A and 13 milligrams of vitamin B while minimizing cost. An ounce of oats contributes 10 milligrams of vitamin A and 2 milligram of vitamin B, whereas an ounce of rice contributes 6 milligrams of A and 3 milligrams of B. An ounce of oats costs $0.06, and an ounce of rice costs $0.03.

What is the optimal objective function value?

Thx

Write all the vertices of the feasible region and identify the optimal vertex

What is the optimal objective function value?

Vertex x1 x2 1 2 3

Explanation / Answer

Let us graph this to find the vertices

Vertices are

OPtimal mix is (0 oats and 7.5 mg rice)

Minimum cost = 0.225

Oats Rice Vit A 10mg 6mg 45 Vit B 2mg 3mg 13 Price 0.06 0.03 Objective is to minimise 0.06x1+0.03x2 x1 no of mg of oats x2 no of mg of rice Constraints: 10x1+6x2>=45 2x1+3x2>=13

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.