When T Million Dollars Is Invested in Technology for a Manufacturing

Multiple Choice

When t million dollars is invested in technology for a manufacturing plant, the plant needs w(t) workers to maximize production. Labor costs are L(w) million dollars when w workers are employed. When $5 million is invested in technology, 2400 workers are needed to maximize production, and labor needs are increasing by 200 workers per million dollars. It costs $32 million to employ 2400 workers. At 2400 workers, labor costs are increasing by approximately $0.024 per worker. Evaluate w(t) when $5 million is invested in technology, and write a sentence interpreting the value.

A) workers When $5 million is invested in technology for a manufacturing plant, the plant needs 2400 workers to minimize production.
B) workers When $5 million is invested in technology for a manufacturing plant, the plant needs 2200 workers to maximize production.
C) workers When $5 billion is invested in technology for a manufacturing plant, labor needs are increasing by 200 workers per million dollars.
D) workers When $5 billion is invested in technology for a manufacturing plant, labor needs are decreasing by 400 workers per million dollars.
E) workers When $5 billion is invested in technology for a manufacturing plant, the plant needs 2600 workers to maximize production.