A donut shop has a production function given by q = 50k1/3l1/2, where q is the number of donuts produced per hour, k is the number of donut fryers (which is fixed at eight in the short run), and l is the number of employed workers. how many donuts can be produced per hour with four workers in the short run?

Respuesta :

Fellow exo-l, I hope this is what you meant by your question, it's a bit vague given that your question q = 50k1/3l1/2. So, I assumed that's what you meant. If not, please tell me and I can edit it again.
[tex]q = 50k (\frac{1}{3}l)( \frac{1}{2} ) \\ q = (50 \times 8)( \frac{1}{3} \times 4)( \frac{1}{2} ) \\ q = 400 \times \frac{4}{3} \times \frac{1}{2}[/tex]
[tex]q = 400 \times \frac{4}{3} \times \frac{1}{2} \\ q = 400 \times \frac{4}{6} \\ q = 266 \frac{2}{3} [/tex]
A: 267 donuts can be produced.

Hope this helps. - M