Mr. John makes x cakes and y pies each day. In order to supply his customers, does the following:
i) He must make AT LEAST 2 cakes each day
Write an inequality to represent the information.
ii) He must NOT make FEWER than 3 pies each day.
Write an inequality to represent this information.
iii) He has NO MORE than $72 to make the cakes and pies. Each cake costs $6 to make and each pie cost $10 to make.
Write an inequality to represent this information.
b) i) Using a scale of 2 cm to represent 1 unit on both axes, draw the graphs of the inequalities.
ii) Write the coordinates of the vertices of the region that satisfies all three inequalities.
c) Mr. John makes a profit of $8 on each cake and $12 on each pie.
i) Write an expression in x and y for the TOTAL profit, P.
ii) How many cakes and pies must be made in order to obtain the maximum profit?
iii) Calculate the maximum profit.