Question

Solve by completing square​

Answer 1

Step-by-step explanation:

SR Ltd. is reviewing its purchase policy with regard to the purchase of an important

material. You are given the following information:

(i) Annual Demand: 10,000 Kg.

(ii) Ordering cost: Rs. 500 per order

(iii) Price per Kg.:Rs. 200

(iv) Stock holding cost: 20%

The purchase manager wants to purchase the entire annual requirement in 5 orders of equal

quantity. Work out the gain or loss to the organization due to his ordering policy.

Answer 2

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Given,

$a {x}^{2} + bx + c = 0 \\ \implies \: 4 {a}^{2} {x}^{2} + 4abx + 4ac = 0 \: \: \: \{ \: multiply \: by \: 4a \} \\ \implies \: \: \underbrace{ {(2ax)}^{2} + 2 \times 2ax \times b + {b}^{2} } _{ \large \: \: {{(2ax + b)}^{2} }} + 4ac = {b}^{2} \: \: \: \{ \: add \: \: {b}^{2} \: in \: both \: side \} \\ \implies \: {(2ax + b)}^{2} + 4ac = {b }^{2} \\ \implies \: \: {(2ax + b)}^{2} = {b}^{2} - 4ac \\ \implies \: 2ax + b = \pm \sqrt{ {b}^{2} - 4ac} \\ \implies \: 2ax = - b \pm \sqrt{ {b}^{2} - 4ac} \\ \implies \: x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ \\ \therefore \: x_1 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a}$