Question
Lucia is opening a new pizza restaurant that will use a combination of workers and ovens to produce pizzas. Lucia knows from experience that the
Lucia is opening a new pizza restaurant that will use a combination of workers and ovens to produce pizzas. Lucia knows from experience that the total number of pizzas she can produce in an hour is given by the function q=6K0.5L0.5q=6K0.5L0.5, where qqis the number of pizzas per hour, KKis the number of ovens, and LLis the number of workers.Suppose another pizza restaurant in the same town can produce 47 pizzas per hour. Being an extremely competitive person, Lucia wants to produce 48 pizzas per hour.
Complete the third column of the following table by entering the number of workers needed to produce 48 pizzas per hour based on the given number of ovens and the production function q1=6K0.5L0.5q1=6K0.5L0.5. (Note: Because it is not possible to hire fractional workers, you must round to the nearest whole worker when necessary.)
Pizzas per Hour | Ovens | Workers Needed to Produce 48 Pizzas When the Production Function is... | |
---|---|---|---|
(q) | (K) | q1=6K0.5L0.5q1=6K0.5L0.5 | q2=8K0.5L0.5q2=8K0.5L0.5 |
(L) | (L) | ||
48 | 3 | ||
48 | 2 | ||
48 | 1 |
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