Quelpr
1 markLinear Programming

CSEC Mathematics · Question 8(b)(iii)

Mr Thomas makes x bottles of juice and y cakes each day. He makes at least 20 bottles of juice and no more than 15 cakes each day. The cost to make a bottle of juice is 3.50 and a cake is 5.25. Each day, he uses $163 to make the bottles of juice and cakes.

Show that on any given day, it is NOT possible for Mr Thomas to make 50 bottles of juice and 12 cakes.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 8(a)(i)Complete the table below for the function f(x) = 3 + 2x - x².[1 mark]
  2. 8(a)(ii)Complete the grid below to show all the points in the table on page 25 and hence, draw the graph of the function f(x) = 3 + 2x - x² for -2 ≤ x ≤ 4.[2 marks]
  3. 8(a)(iii)a)Using the graph on page 26, determine the coordinates of the maximum point of f(x).[1 mark]
  4. 8(a)(iii)b)Using the graph on page 26, determine the range of values of x for which f(x) > 0.[2 marks]
  5. 8(a)(iii)c)Using the graph on page 26, determine the gradient of f(x) at x = 1.[1 mark]
  6. 8(b)(i)Write TWO inequalities to represent this information.[2 marks]
  7. 8(b)(ii)Write an inequality to represent this information.[2 marks]

More practice: the rest of this paper · more Linear Programming questions · all CSEC Mathematics past papers