A slightly different way in which we might model the firm's problem is instead to have them minimize average total costs. Let's consider long run planning. The firm is producing widgets. They first decide whether to pay a fixed cost of $100 (a small investment) or $200 (a large investment). If they make the small investment, then total variable costs for producing widgets are, for each quantity:

1. $200

2. $300

3. $600

If the firm makes the large investment, then total variable costs are instead:

1. $80

2. $260

3. $430

Notice that when the firm makes a larger investment, their variable costs are always lower than if they had made the smaller investment. If the firm minimizes average total costs, then they make the_________investment ("small" or "large" but without the quotes) and produce _____widgets.

Please give me correct answer with explanation.