# cost functions need desperate help watch

1. hey guys i need help on these questions
1) Show in a diagram that a production function can have diminishing
marginal returns to a factor and constant returns to scale.
2)In the short run, a firm cannot vary its capital, K = 2 , but can vary its
labor, L . It produces output q . Explain why the firm will or will not
experience diminishing marginal returns to labor in the short run if its
production function is:
a. q =10L + K
b.L^-1/2 x K^-1/2
3) A firm’s cost curve is 2 3 C = F +10q − bq + q , where b > 0.
a. For what values of b are cost average cost, and average variable cost
positive? (From now on, assume that all these measures of cost are
positive at every output level.)
thanks a lot, rep will be given
2. First one is:

i) draw a series of isoquants(multiples of 1st) , then draw a horizontal line and mark the intersections with each isoquant. You should demonstrate that each higher isoquants requires a higher proportional increase in the factor than the proportional increase in output, hence diminishing returns.
3. Me and Bubbles is it ok if you could draw it for me pls?
4. bump
5. (Original post by roshi)
Me and Bubbles is it ok if you could draw it for me pls?

something like this...

6. thanks
7. does anyone know how to do questions 2 and 3?
8. bump

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