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The Crumb and Custard Bakery makes coffee cakes and Danish pastries in large pans. The main ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of sugar available, and the demand for coffee cakes is 5. Five pounds of flour and 2 pounds of sugar are required to make a pan of coffee cakes, and 5 pounds of flour and 4 pounds of sugar are required to make a pan of Danish. A pan of coffee cakes has a profit of $1, and a pan of Danish has a profit of $5. Determine the number of pans of cakes and Danish to produce each day so that profit will be maximized.
a. Formulate a linear programming model for this problem.
b. Solve this model by using graphical analysis.
In the example we modeled the world population in the second half of the 20th century by the equation.
State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.
after 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount salt in the tank at the end of an additional 10 min.
Using the definition of big-O, show that 2n element of O(6*n^2). Using the definition of big-O, show that 6n^2 not element of O(2n)
a mass of 35g stretches a spring 8.4cm. if the distance that a spring is stretched is directly proportionally to the attached mass, how many centimeters will the spring be stretched by a mass of 50g.
In 2005, the average commuting time to work in New York was 31.2 min. The average commuting time in North Dakota was 14.9 min shorter. How long was the average commute in North Dakota?
Probability questions with cards and unbiased dice, Suppose that you select two cards without replacement from an ordinary deck of playing cards.
Use the disk method to find the volume of the solid of revolution formed by revolving the region about the x-axis. Solid region is a semi circle from 0,4 to 16,0 find the solid amount between 5,0 and 6,0
The distance between the building and the pole is 189 ft, and the pole casts a shadow that is 4.25 ft long. How tall is the building?
How many moles of carbon, hydrogen, and oxygen are present in a 100-rm g sample of ascorbic acid? Use the periodic table as needed.
A, B started business with 50000,60000, C joined later after x months invested 70000 and B withdraws before x months to end of the year. Then what is the ratio of their profit?
you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 30 hours. Find the angular velocity of a person standing on the equator.
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