a) University of Nairobi has enough slots for 3500 students. These slots will be allocated to three categories of students, government sponsored students, self sponsored students and international students. The halls of residence in the University’s campuses can accommodate a maximum of 1,750 students. Half of government sponsored students, one-quarter of self sponsored students and all international students must be given places in the halls of residence. Each semester, the university gets sh. 36,000 in tuition fees for each government sponsored student, sh. 70,000 for each self sponsored student and sh. 80,000 for each international student. In order to meet its obligations and get enough funds for development, it requires at least sh. 182 million per semester. Required Using matrix algebra, determine the number of students in each of the three categories that the University of Nairobi should admit.
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) University of Nairobi has enough slots for 3500 students. These slots will be allocated to three categories of students, government sponsored students, self sponsored students and international students. The halls of residence in the University’s campuses can accommodate a maximum of 1,750 students. Half of government sponsored students, one-quarter of self sponsored students and all international students must be given places in the halls of residence. Each semester, the university gets sh. 36,000 in tuition fees for each government sponsored student, sh. 70,000 for each self sponsored student and sh. 80,000 for each international student. In order to meet its obligations and get enough funds for development, it requires at least sh. 182 million per semester.
Required
Using matrix algebra, determine the number of students in each of the three categories that the University of Nairobi should admit.
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