Question

A small island kingdom produces two goods: pineapples and coconuts. The production of one unit of...

A small island kingdom produces two goods: pineapples and coconuts. The production of one unit of pineapples requires .3 units of pineapples and .9 units of coconuts. The production of one unit of coconuts requires .2 units of pineapples and .6 units of coconuts. The kingdom wants to meet an external demand for 40 units of pineapples and 110 units of coconuts.
How many units of pineapples will they have to produce?  
How many units of coconuts will they have to produce?  

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Pineapple needed to make 1 pineapple unit = 0.3

Pineapple needed to make 40 pineapple units = 0.3 × 40 = 12

Pineapple needed to make 1 coconut unit = 0.2

Pineapple needed to make 110 coconut units = 0.2 × 110 = 22   

Total pineapple needed to be produced = 12 + 22 = 34

Coconut needed to make 1 pineapple unit = 0.9

Coconut needed to make 40 pineapple units = 0.9 × 40 = 36

Coconut needed to make 1 coconut unit = 0.6

Coconut needed to make 110 coconut units = 0.6 × 110 = 66

Total coconut needed to produce = 36 + 66 = 102

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