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Question: GASOLINE SALES Gloria Newburg operates three selfservice gasoline stations in different parts of town. On a certain day, station A sold 600 gal of premium, 800 gal of super, 1000 gal of regular gasoline, and 700 gal of diesel fuel; station B sold 700 gal of premium, 600 gal of super, 1200 gal of regular gasoline, and 400 gal of diesel fuel; station C sold 900 gal of premium, 700 gal of super, 1400 gal of regular gasoline, and 800 gal of diesel fuel. Assume that the price of gasoline was $3.20/gal for premium, $2.98/gal for super, and $2.80/gal for regular and that diesel fuel sold for $3.10/gal. Use matrix algebra to find the total revenue at each station.
Similarly, one additional unit will be occupied for each 5 dollar decrease in rent. What rent should the manager charge to maximize revenue?
The Alphabitia tribe planted AAAB corn plants. Each plants produced AC ears of corn, which was divided evenly among the B0D people. How much corn should each person get? Show all your work, and perform all calculations in Alphabitian.
A plane travels 160 miles on a bearing of N 50° E and then changes its course to N 67° E and travels another 160 miles. Find the total distance traveled north and the total distance traveled east.
Three forces with magnitudes of 70 pounds, 40 pounds, and 60 pounds act on an object at angles of -30 degrees, 45 degrees, and 135 degrees, respectively, with the positive x-axis. Find the direction and magnitude of the resultant of these forces.
A building casts a shadow 345 ft long when the angle of elevation of the sun is 48°. Find the height of the building.
Use the counterexample method to prove the following categorical syllogisms invalid.- Some school boards are not groups that oppose values clarification, because some school boards are not organizations with vision, and some groups that oppose valu..
Find the constant of integration, C if: y=∫(9x2 + 2x - [b])dx and the curve passes through the point ([3], [4]). Find the constant of integration, C if: y= ∫12x (x2+3)5 dx and the curve passes through the point ([6], [2]).
We also discussed rotations of common shapes in the plane using a change-of-base. Walk through one or two examples and discuss how the "usual" basis {(1,0) and (0,1)} can be limiting. Does this suggest why other bases might be better in certain ci..
Adams High School has 151 freshman, 198 sophomores, 221 juniors, and 242 seniors. If two students are selected at random without replacement, what is the probability of selecting a freshman on the first selection and a senior on the second selecti..
1) Solve the equation using the methods discussed in Chapter 1 of our text. If the equation has a unique solution, please show the complete check of your answer.
For each function below find all critical points, x- and y- intercepts. Apply first and second derivative tests. Indicate the intervals over which the graph is increasing ii) decreasing iii) concave up iv) concave down.
A new pump is needed to replace a broken one. A large electric motor is needed to drive this pump. The motor has the equivalent circuit as shown in Figure P4.48 . Solve for the equivalent inductance.
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