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1. A manufacturer produces three types of humidifiers. The retail price of Humidifier Regular (HR) is $60 with variable costs of $20. Humidifier Advanced (HA) sells for $200 for its advanced features. This model's variable costs are $80. Humidifier Simple (HS) is a simplified version and only sells for $25 with variable costs of $15. The manufacturer has machines and facilities worth $320,000 annually. The sales data show that 1000 units of HR, 2000 units of HA, and 10,000 units of HS was sold last year. Calculate the break-even point of the firm. The firm has some idle capacity at these volumes, and chooses to cut the selling price of HR from $60 to $45, believing that its sales volume will rise from 1000 units to 2500 units. What is the revised break-even point?
2. Leonard's company purchases a window hardware from William's Hardware Co and sells to the market. Leonard is also considering manufacturing the product internally. William's Hardware Co. charges $4 per unit, with a minimum order of 3,000 units. If Leonard manufactures the product in-home, the process setup fee could be $15,000 and then $1.82 per unit for labor and materials.
a) Draw a graph illustrating the crossover (or indifference) point.
b) Determine the number of units where either choice has the same cost.
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