least 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit. A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and each brand Y capsule costs P9.00, how many capsules should the patient take each day to minimize the costs?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and at
least 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of
Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.
A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and each
brand Y capsule costs P9.00, how many capsules should the patient take each day to
minimize the costs? Solve using graphical method. Show complete solution.
Required:
1. Formulate the following:
a. Decision variables
b. Objective function
c. Constraints
2. Graph
3. Identify feasible region.
4. Solve for the value of X and Y at each point.
5. Decision.
Step by step
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