Write the system of inequalities and optimum function created by each problem. 1. Abercrombie sells both children and adult clothes. In one day, the store will sell a maximum of 65 total shirts with the adult shirts selling for $27 and the child shirt selling for $20. The store must sell at least 15 children's shirts and 10 adult shirts. How much money will the store make?​

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)