Three friends: Andrés, Juan and Carlos are preparing to climb some stairs and they do it in the following way: each one begins their journey by placing their left foot on the first step. Andrés climbs a step alternating his feet. Juan goes up two steps at a time, alternating his feet, and Carlos goes up three steps at a time, alternating his feet. If everyone reaches the last step of the ladder with their left feet, then. The minimum number of steps the staircase has is? A:7 B:9 C:13 D:25

Evaluate each vertex ordered pair in the profit function. What is the maximum profit?

A farmer has 20 hectares for growing barley and swedes. The farmer has to decide how much of each to grow. The cost per hectare for barley is $30 and for swedes is $20. The farmer has budgeted $480. Barley requires I man-day per hectare and swedes require 2 man-days per hectare. There are 36 man-days available. The profit on barley is $100 per hectare and on swedes is $120 per hectare. Determine the number of hectares of each crop the farmer should sow to maximize the profits. Use GNU Octave to determine the maximization value as well as the point at which the maximum occurs.

Raina, Chau, and Bob served a total of 110 orders Monday at the school cafeteria. Chau served 5 fewer orders than Raina. Bob served 3 times as many orders as Chau. How many orders did they each serve? Number of orders Raina served: Number of orders Chau served: Number of orders Bob served: X