A student has decided that passing a mathematics course will, in the long run, be twice as valuable as passing any other kind of course. The student estimates that passing a typical math course will require 12hr a week to study and do homework. The student estimates that any other course will require only 8hr a week. The student has 48hr available for study per week. How many of each kind of course should the student take? (Hint: The profit could be viewed as 2 “value points” for passing a math course and 1 “value point” for passing any other course.) How, if at all, do the maximum value and optimal course mix change if the student decides to take at least two math courses and two other courses?
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 student has decided that passing a mathematics course will, in the long run, be
twice as valuable as passing any other kind of course. The student estimates that passing a typical math course will require 12hr a week to study and do homework. The student estimates that any other course will require only 8hr a week. The student has 48hr available for study per week. How many of each kind of course should the student take? (Hint: The profit could be viewed as 2 “value points” for passing a math course and 1 “value point” for passing any other course.) How, if at all, do the maximum value and optimal course mix change if the student decides to take at least two math courses and two other courses?
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