In liner graphically numbers of p and c

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ScanSolve AI Tutor · Accepted Answer

Haya Mercy, hebu tuone jinsi ya kuwakilisha milinganyo hii graphically.

Eleza uwakilishi wa kielelezo.
Kila mlinganyo wa mstari ulionyooka unaweza kuwakilishwa kama mstari kwenye grafu. Katika kesi hii, tutatumia shoka ya $p$ (gharama ya kalamu) kama shoka ya x na shoka ya $c$ (gharama ya penseli) kama shoka ya y. Makutano ya mistari miwili ndio suluhisho la milinganyo.
Pata pointi za kuchora Mstari 1 ( $5p + 3c = 840$ ).
Ili kuchora mstari, tunahitaji angalau pointi mbili.
- Weka $p = 0$ :
$5(0) + 3c = 840$ $3c = 840$ $c = \frac{840}{3}$ $c = 280$
Pointi ya kwanza ni $(0, 280)$ .
- Weka $c = 0$ :
$5p + 3(0) = 840$ $5p = 840$ $p = \frac{840}{5}$ $p = 168$
Pointi ya pili ni $(168, 0)$ . Chora mstari unaopitia pointi hizi mbili.
Pata pointi za kuchora Mstari 2 ( $3p + 5c = 600$ ).
- Weka $p = 0$ :
$3(0) + 5c = 600$ $5c = 600$ $c = \frac{600}{5}$ $c = 120$
Pointi ya kwanza ni $(0, 120)$ .
- Weka $c = 0$ :
$3p + 5(0) = 600$ $3p = 600$ $p = \frac{600}{3}$ $p = 200$
Pointi ya pili ni $(200, 0)$ . Chora mstari unaopitia pointi hizi mbili.
Tambua suluhisho la kielelezo.
Pointi ambapo mistari miwili inakutana ndio suluhisho la milinganyo. Kutokana na hesabu zetu za awali, tuligundua kuwa $p = 150$ na $c = 30$ .
Hivyo, mistari miwili itakutana kwenye pointi $(150, 30)$ .

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