A firm can use three different production technologies, with capital and labor requirements at each level of output as follows:
Technology 1 Technology 2 Technology 3
Daily Output K L K L K L
100 3 7 4 5 5 4
150 3 10 4 7 5 5
200 4 11 5 8 6 6
250 5 13 6 10 7 8
a. Suppose the firm is operating in a high-wage country, where capital cost is $100 per unit per day and labor cost is $80 per worker per day. For each level of output, which technology is cheapest?