The Cobb-Douglas function models the quantity q of a commodity produced as a function of the number of the workers w and the amount of capital invested c: q= 100w^0.1 C^0.9

Labor costs are $15 per worker, capital costs are $27 per unit, and there is a fixed budget of $3000. Set up (BUT DO NOT SOLVE!) the system of equations that would allow you to find the optimal values of w and c in order to maximize the quantity of a commodity produced.

7,24

step-by-step explanation:

2 2/3 hours duhh silly

step-by-step explanation:

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

source:  

the given 6 = w/p is equivalent to 6p = w, where w is the total area of the walls and p is the area covered by a single can of paint.

knowing that 6 cans of paint will be needed, 6p = w becomes 6(6) = w = 36.   this tells us that the total area to be painted is 36 square units.