SPM Maths Inequalities Shading

Question

Alia membuat kraftangan gelang dan rantai. Dia dikehendaki menyiapkan selebih-lebihnya 24 utas kraftangan itu pada hari Ahad ini. Kos membuat seutas gelang iala RM 8 dan kos membuat seutas rantai ialah RM 12. Alia mempunyai RM 240 untuk membuat kraftangan itu. Alia memperoleh keuntungan RM 30 bagi seutas gelang dan RM 48 bagi seutas rantai.

Alia makes handcrafted bracelets and necklaces. She has to make at most 24 pieces of the handcrafts by this Sunday. The cost to make a bracelet is RM 8 and the cost to make a necklace is RM 12. Alia has RM 240 to make the handcrafts. Alia makes a profit of RM 30 on each bracelet and a profit of RM 48 for each necklace. 

(a) Tulis dua ketaksamaan linear selain daripada x>=0 dan y >=0, yang mewakili situasi itu.
Write two linear inequalities other than x >=0 and y>=0, which represents the situation.

(b) Lukis dan lorek rantau yang memuaskan sistem ketaksamaan linear di atas.
Draw and shade the region that satisfies the above system of linear inequalities. 

(c) Daripada graf, tentukan bilangan setiap kraftangan yang perlu dibuat Alia supaya mendapat keuntungan maksimum.
From the graph, determine the number of each handcraft Alia should make so that she maximizes her porfit. 

 

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Answer ( 1 )

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    2020-12-27T14:39:52+08:00

    The answer is 12 bracelet, 12 necklace.

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