Diversity of firm's life cycle adapted from the firm's technology investment decision

The stylized model presented is an optimal control model of technology investment decision of a single product firm. The firm's technology investment does not have only a long-run positive effect but also a short-run adverse effect on its sales volume. We examine the case of high adverse investment effects where the firm finally leaves the market but we have observed different life cycles till this happens. Depending on the firm's initial technology stock and sales volume, we compute different firm's life cycles, which are driven by a trade-off between two strategies: technology versus sales focus strategy. Indifference curves, where managers are indifferent to apply initially technology or sales focus strategies, separate founding conditions of the firm to various classes distinguishable because of the firm's life cycle.