please answer

MATHEMATICS in the MODERN WORLD Name: Date: Course & Section: Rating: EXERCISES: NO. 12 1. The Eurostar is a high-speed train that travels between London, Brussels, and Paris. There are 30 cars on each departure. Each train car is designated first class or second class. Based on demand for each type of fare, there should always be at least two but no more than four first- class train cars. The management wants to claim that the ratio of first- class to second-class cars never exceeds 1:8. If the profit on each first- class train car is twice as much as the profit of each second-class train car, find the number of each class of train car that will generate a maximum profit.Section 2 | MATHEMATICS AS A TOOL 2. A well-known donut store makes two popular types of donuts: creme- filled and jelly-filled. The manager knows from past statistics that the number of dozens of donuts sold is at least 10, but no more than 30. To prepare the donuts for frying, the baker needs (on the average) 3 minutes for a dozen creme-filled and 2 minutes for jelly-filled. The baker has at most 2 hours available per day to prepare the donuts. How many dozens of each type should be prepared to maximize the daily profit if there is a P80 profit for each dozen creme-filled and P100 profit for each dozen jelly-filled donuts