1. Suppose that a producer has the following production function: Q = K LU6 Where Q is output, and L and K are man-hours and machine-hour the two inputs used in the production process. 1A) Set up the cost minimization problem 1B) Determine the cost-minimize ratio of inputs where capital costs $1 per machine-hour and labor costs $4 per lab- hour. 1C) How many worker-hours are used to produce 100 units of output at these prices?

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Chapter1: Making Economics Decisions
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1. Suppose that a producer has the following production function:
Q = K³L6
Where Q is output, and L and K are man-hours and machine-hour the two inputs used in the production process.
1A) Set up the cost minimization problem
1B) Determine the cost-minimize ratio of inputs where capital costs $1 per machine-hour and labor costs $4 per lab-
hour.
1C) How many worker-hours are used to produce 100 units of output at these prices?
ID) What is the marginal cost of producing another unit of output at this output?
Transcribed Image Text:1. Suppose that a producer has the following production function: Q = K³L6 Where Q is output, and L and K are man-hours and machine-hour the two inputs used in the production process. 1A) Set up the cost minimization problem 1B) Determine the cost-minimize ratio of inputs where capital costs $1 per machine-hour and labor costs $4 per lab- hour. 1C) How many worker-hours are used to produce 100 units of output at these prices? ID) What is the marginal cost of producing another unit of output at this output?
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