The cobb-douglas production function for a particular product is n(x, y) = 40x^0.8y^0.2, where x is the number of units of labor and y is the number of units of capital required to produce n(x, y) units of the product. each unit of labor costs $40 and each unit of capital costs $100. if $500,000 is budgeted for production of the product, determine how that amount should be allocated to maximize production. production will be maximized when using units of labor and units of capital.

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a.this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b.this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )

Ais right if u want more just write the common factors (the numbers that you multiply)

The answer is 16.66 i'm pretty sure