Question

(8+12=20)
a) A patient in a hospital is required to have at least 84 units of drug A and 120
units of drug B each day (assume that an over dosage of either drug is
harmless). Each gram of substance M contains 10 units of drug A and 8 units
of drug B, and each gram of substance N contains 2 units of drug A and 4
units of drug B. How many grams of substances M and N can be mixed to
meet the minimum daily requirements?
i) What is y-intercept ad slope of the equation 5x + 2y = 10?
ii) Determine the equation of a straight line whose y-intercept is -3 and
slope -4
iii) Find the slope intercept form of the equation that passes through (-8,4)
and perpendicular to the line 8x - 2y = 0.
iv) Determine the equation of a straight line which has a slope of -5 and a
y intercept of (0,15)
(12+8=20)
Solve the following second degree inequality
X? +2x-550 (ii) 8x2 - 3x -920
Solve the following simultaneous linear equations by graphical metho​

Answer 1

Answer:

.......................

Answer 2

Given : A patient in a hospital is required to have at least 84 units of drug A and 120  units of drug B each day (assume that an over dosage of either drug is  harmless). Each gram of substance M contains 10 units of drug A and 8 units  of drug B, and each gram of substance N contains 2 units of drug A and 4  units of drug B  

To Find :  How many grams of substances M and N can be mixed to

meet the minimum daily

Explanation:

M , N   ≥ 0

10M  +  2N   ≥  84

=> 5M + N   ≥  42

8M  +    4N     ≥  120  

=> 2M  + N   ≥  30

  M = 0  ,  N = 42

  M = 4   , N  = 22

  M = 15    N = 0

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