5. A coffee shop blends 10 kg of local coffee that cost $16 per kg with 5 kg Blue Mountain coffee that cost $34 per kg and 15 kg of another brand that cost $6.00 per kg. What would be the minimum price per kg of the blend? [4 marks]
Need the solution with step to step.
Total cost of local coffee blended = 10*16 = $160
Total cost of blue mountain coffee = 5*34 = $170
Total cost of coffee of another brand = 16*6 = $90
So, total cost of all blended coffee = 160+170+90
= $420.
Total weight of all the coffees = 10+5+16 = 31 kgs.
So, when all are blended together the total cost would be $420 and the total weight will be 31 kgs.
So, the minimum price per kg of the blend should be = 420/31 = $13.548 per kg.
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