FULL NAMES:
STUDENT NUMBER:
DSC1520: QUANTITATIVE MODELLING I
ASSIGNMENT: 01 (QUIZ)
SEMESTER 01_2024
,m = (y2 - y1) / (x2 - x1) m
= (70 - 40) / (20 - 10) m =
m = 3
, Now that we have the slope, we can use one of the points and the slope to solve for
the y-intercept (b). Let's use the point (10, 40):
40 = 3(10) + b
40 = 30 + b b =
40 - 30 b = 10
So the equation for the linear relationship between C and Q is:
C = 3Q + 10
Now we can find the cost of producing 35 units:
C = 3(35) + 10
C = 105 + 10
C = 115
Therefore, the cost of producing 35 items is R115.
STUDENT NUMBER:
DSC1520: QUANTITATIVE MODELLING I
ASSIGNMENT: 01 (QUIZ)
SEMESTER 01_2024
,m = (y2 - y1) / (x2 - x1) m
= (70 - 40) / (20 - 10) m =
m = 3
, Now that we have the slope, we can use one of the points and the slope to solve for
the y-intercept (b). Let's use the point (10, 40):
40 = 3(10) + b
40 = 30 + b b =
40 - 30 b = 10
So the equation for the linear relationship between C and Q is:
C = 3Q + 10
Now we can find the cost of producing 35 units:
C = 3(35) + 10
C = 105 + 10
C = 115
Therefore, the cost of producing 35 items is R115.
