A bricklayers’ union agrees to furnish at least 50 bricklayers to a shopping mall builder. The bricklayers are classified in three  categories according to skill: low, medium, and high. The union requires that the total number of medium- and high-skilled bricklayers be at least four times the number of low skilled. The average number of bricks laid per hour for each skill level is: low, 40 per hour; medium, 60 per hour; high, 75 per hour. The builder knows that the bricklayer crew must lay at least 3100 bricks per hour to stay on schedule. If the wages per hour are $10, $15, and $18 for low, medium, and high skills, respectively, how many of each type should be hired to minimize total hourly wages?

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let x the number of low skilled brick layers let y the number of medium skilled brick layers let z t... View the full answer