Hello, kindly provide reasoning behind these answers:

|:>1. Laura's lemonade stand produces lemonade using some amount of two inputs according to the following production function, Q=min{2x1, x2}. The price of input 1 is $5 and the price of input 2 is $10. Find the lowest cost to produce 120 units of lemonade. 2,000 2,400 1,500 1,200 1,800 |:>2. Karissa's firm uses only labor to produce its output, q, according to the following production technology: q=L3/2 for any amount of output between zero and four. However, when producing more than four units of output Karissa's technology changes to q=4+L. Given the price of the output is $1 and the wage price of labor is $3, what amount of labor does Karissa use to maximize profits? 4/9 9/2 16/9 |:>3. Max produces video game walk-through guides for other gamers. This is an information good so Max faces zero marginal cost to distribute an additional guide, but faces a cost, $T associated with Max's time investment. Max's demand is given by 0:20- P and operates as a monopolist--at least relative to his own devoted fans. We know: Max will not produce any walk- through guides if T > 20 Max will produce 15 walk- through guides Max will produce walk-through guides only if T is less than or equal to 100 Max will produce 20 walk- through guides None of these are correct