BCA 1st sem /BCS-012/Solved Assignment/ Basic Mathematics /2017-2018 New

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A.3 Assume n = k;
and solve it..

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Suppose Investors invests ` x in saving certificate and ` y in National Savings
Bonds.
As he has just ` 12000 to invest, we must have x + y ≤ 12000.
Also, as he has to invest at least ` 2000 in savings certificate x ≥ 2000.
Next, as he must invest at least Rs. 4000 in National Savings Certificate
y ≥ 4000. Yearly income from saving certificate = ` = 0.08x and from
National Savings Bonds = ` = Rs. 0.1y
His total income is ` P where
P = 0.08x + 0.1y
Thus, the linear programming problem is
Maximise

subject to
x + y ≤ 12000 [Total Money Constraint]
x ≥ 2000 [Savings Certificate Constraint]
y ≥ 4000 [National Savings Bonds Constraint]
x ≥ 0, y ≥ 0 [ Non-negativity Constraint]
However, note that the constraints x ≥ 0, y ≥0, are redundant in view of

x ≥ 2000 and y ≥ 4000.

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