A luggage manufacturer produces three types of luggage: economy, standard, and d

Question

A luggage manufacturer produces three types of luggage: economy, standard, and deluxe. The company produces 1,000 pieces of luggage at a cost of $20, $25, and $30 for the economy, standard, and deluxe luggage, respectively. The manufacturer has a budget of $20,700. Each piece of economy luggage requires 6 hours of labor, each standard luggage piece requires 10 hours of labor, and each deluxe model requires 20 hours of labor. The manufacturer has a maximum of 6,800 hours of labor available. If the manufacturer sells all the luggage, consumes the entire budget, and uses all the available labor, how many of each type of luggage should be produced?

Explanation / Answer

let they make x economy, y standard, z deluxe luggage then x+y+z = 1000 total piece 20 x + 25 y + 30 z = 20700 total money 6x + 10y + 20 z = 6800 total hours so x = 900,y = 60,z = 40

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