A steam plant burns two types of coal: anthracite (A) and bituminous (B). For each ton of A burned, the plant produces 27.6 millon Btu of heat, 3100 grams (g) of sulfur dioxide, and 250 g of particulate matter (solid-particle pollutants). For each ton of B burned, the plan produces 30.2 million Btu, 6400 g of sulfur dixoide, and 360 g of particulate matter.

a. How much heat does the steam plant produce when it burns x1 tons of A and x2 tons of B?

b. Suppose the output of the steam plant is described by a vector that lists the amounts of heat, sulfur dioxide, and particulate matter. Express this output as a linear combination of two vectors, assuming that the plan burns x1 tons of A and x2 tons of B.

c. [M] Over a certain time period, the steam plant produced 162 million Btu of heat, 23,610 g of sulfur dioxide, and 1623 g of particulate matter. Determine how many tons of each type of coal the steam plant must have burned. Include a vector equation as part of your solution.

{Note to Tutor: I've attached my work but I am having trouble putting the augmented matrix in part c in reduced echelon form}

Which one of the following statements is correct? process costing systems use periodic inventory systems. process costing systems assign costs to departments or processes for a time period. companies that produce many different products or services are more likely to use process costing systems. production is continuous when a job-order costing is used to ensure that adequate quantities are on hand.

Until recently, hamburgers at the city sports arena cost $4.70 each. the food concessionaire sold an average of 13 comma 000 hamburgers on game night. when the price was raised to $5.40, hamburger sales dropped off to an average of 6 comma 000 per night. (a) assuming a linear demand curve, find the price of a hamburger that will maximize the nightly hamburger revenue. (b) if the concessionaire had fixed costs of $1 comma 500 per night and the variable cost is $0.60 per hamburger, find the price of a hamburger that will maximize the nightly hamburger profit.

In march 2012, the state of california started requiring that all packaging for food and drink with the additive 4-methylimidazole (4-mi) be clearly labeled with a cancer warning. because of this, both pepsi and coke changed their formula to eliminate 4-mi as an ingredient. if pepsi and coke did not change their formula, holding all else constant, what would have happened to the demand for these goods, assuming pepsi and coke were in a competitive market? a. the demand curve for both pepsi and coke would have shifted to the right, causing the price of both products to decrease and the profits for the companies to fall. b. the demand curve for pepsi and coke would have remained unchanged, but the price of both products would have decreased and the profits for the companies would have fallen. c. the demand curve for pepsi and coke would have decreased, but the prices and profits would not have changed. d. the demand curve for only one of them would change because pepsi and coke are substitutes. e. the demand curve for pepsi and coke would have shifted to the left, causing the price of both products to decrease and the profits for both companies to fall.