Formulate the following problem as a linear programming problem and solve it using the graphical method of corners.
A company produces two types of similar products, product A and product B. Product A
requires 2 hours to produce and product B requires 4 hours to produce. The company has
only 800 hours to use in production each day and can only produce up to 300 of both
products per day .If the company sells product A for $22.50 and product B for $45.00,
how many of each type should be produced each day to maximize sales revenue ?

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

‼️‼️‼️‼️‼️the pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the gas. if the pressure is 6 pounds per square inch when the temperature is 440 f, find the pressure exerted when the temperature of the gas is 380°f. (show work)

Trang is planting shrubs beside the highway for his job. he needs to plant 500 shrubs this week. he planted 84 shrubs on monday, 92 shrubs on tuesday, 87 shrubs on wednesday, and 104 shrubs on thursday. how many shrubs does trang need to plant on friday to finish the job?