Haziqah makes three types of cookies for Hari Raya. The main ingredients she uses to make the cookies are flour, cornflakes, and chocolate rice. To bake cookie X, she needs ten grams of flour, ten grams of cornflakes, and five grams of chocolate rice. For cookie Y, she needs seven grams of flour, five grams of cornflakes, and four grams of chocolate rice, while for cookie Z, she needs four grams of flour, two grams of cornflakes, and three grams of chocolate rice. The amount of ingredients available per day are 2.64 kg of flour, 2 kg of cornflakes and 1.58 kg of chocolate rice. Write the above information in matrix form. Using Cramer’s rule, find the number

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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  • Haziqah makes three types of cookies for Hari Raya. The main ingredients she uses to make the cookies are flour, cornflakes, and chocolate rice. To bake cookie X, she needs ten grams of flour, ten grams of cornflakes, and five grams of chocolate rice. For cookie Y, she needs seven grams of flour, five grams of cornflakes, and four grams of chocolate rice, while for cookie Z, she needs four grams of flour, two grams of cornflakes, and three grams of chocolate rice. The amount of ingredients available per day are 2.64 kg of flour, 2 kg of cornflakes and 1.58 kg of chocolate rice.

  • Write the above information in matrix form.

  • Using Cramer’s rule, find the number of each type of cookies she can make if all the ingredients available are used. 

  •  
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