One common system for computing a grade point average (gpa) assigns 4 points to an a, 3 points to a b, 2 points to a c, 1 po
int to a d, and 0 points to an f. what is the gpa of a student who gets an a in a 33-credit course, a b in each of threethree 44-credit courses, a c in a 33-credit course, and a d in a 44-credit course?
2 answers:
Answer:
he question was not properly written with clarity, see below the clearly written version.
One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to a B, 2 points to a C, 1 point to a D, and 0 points to an F. what is the GPA of a student who gets an A in a 33-credit course, a B in each of three 44-credit courses, a C in a 33-credit course, and a D in a 44-credit course?
The GPA for the student is 2.634
Explanation:
GRADE POINT AVERAGE
This is a number representing the average value of the accumulated final grades earned in courses over time, commonly called a GPA. A student’s grade point average is calculated by adding up all accumulated final grades and dividing that figure by the number of grades awarded. The result of this calculation is a mathematical mean or average of all final grades. One of the most common form of GPA is based on a 0 to 4.0 scale (A = 4.0, B = 3.0, C = 2.0, D = 1.0, and F = 0), with a 4.0 being the best or highest and 0 the lowest. Schools may also assign partial points for “plus” or “minus” letter grades, such as a 3.7 for an A–, a 3.3 for a B+, and so on. Grade Point Average (GPA) may be calculated at the end of a course, semester, or grade level, and a “cumulative GPA” represents an average of all final grades individual students earned from the time they first enrolled in a school to the completion of their education.
Given the grading system in the question
A-4
B-3
C-2
D-1
F-0
GPA = Total Accumulated Points/ Total Sum of Credit Unit
=638/242 =2.634
The GPA for the student is 2.634
Please find attached a file containing the table and calculation done in Microsoft Excel spreadsheet.
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Answer :
Some answers are attached below
Explanation:
a) Based on the information provided, below are the all possible sensible patterns the lumberyard may use to cut the 10-ft boards -
Pattern Number 3-ft boards 4-ft boards 5-ft boards Waste (<3-ft)
1 3 0 0 1
2 2 1 0 0
3 1 0 1 2
4 0 1 1 1
5 0 2 0 2
6 0 0 2 0
b) ILP Formulation
Objective Function
Minimize Number of 10 ft-boards to be cut
Z = x1+x2+x3+x4+x5+x6 where xi is the number of boards for pattern i
subject to constraints -
3x1+2x2+x3>=90 ----> 3-ft boards
x2+x4+2x5>=60 ----->4-ft boards
x3+x4+2x6>=60 ----->5-ft boards
Xi>=0 ---->Non-negativity constraint
Below is the excel solver formulation and solution -
The optimal number of Pattern 1,5,6 =0, Pattern 2,3 and 4 = 30
The minimum number of 10 ft-boards to be cut = 90
