Leo has Rs 12.50 to spend on his weekly supply of sweets, crisps and apples. A bag of crisps costs Rs 0.65 , a bag of sweets costs Rs. 0.85 and one apple costs Rs. 0.50. The total number of packets of crisps, sweets and apples consumed in a week must be at least seven and he eats at least twice as many packets of sweets as crisps. His new healthy diet also means that the total number of packets of sweets and crisps must not exceed one-third of the number of apples. If s,c, and a denote the number of packets of sweets, crisps and apples respectively, which one of the following represents one of the constraints defining the feasible region? Which of the following represents one of the constraints in the question.  

  • Option 1)

    3s-3c+a\geq 0

  • Option 2)

    17s+10a+13c\leq 250

  • Option 3)

    3c+3s+a\leq 0

  • Option 4)

    a+c+s\leq 7

 

Answers (1)

According to question c+s+a\geq 7\\ c+s\leq \frac{a}{3}\\ S=2c\\ and \: 0.65c+0.85s+0.50a\leq 12.50\\ 13c+17s+10a\leq 250

 


Option 1)

3s-3c+a\geq 0

This solution is incorrect 

Option 2)

17s+10a+13c\leq 250

This solution is correct 

Option 3)

3c+3s+a\leq 0

This solution is incorrect 

Option 4)

a+c+s\leq 7

This solution is incorrect 

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