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A snack food manufacturer buys corn for tortilla chips from two cooperatives, one in Iowa and one in Illinois. The price per unit of the Iowa corn is $6.00 and the price per unit of the Illinois corn is $5.50.
a. Define variables that would tell how many units to purchase from each source.
b. Develop an objective function that would minimize the total cost.
What is the potential energy for the child just as she is released, compared with the potential energy at the bottom of the swing? How fast will she be moving at the bottom of the swing?
Two carts A and B are connected by a rope 39 feet long that passes over pulley P. The point Q is on the floor directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 2 ft/sec.
A rectangular park measures 300 ft. by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk.
A steep mountain is inclined 74 degree to the horizontal and rises 3400 ft above the surrounding plain. A cable car is to be installed that will travel from a point 910 ft from the base (along the horizontal) to the top of the mountain.
Probability Slips of paper marked with the numbers 1,2,3,4, and 5 are placed in a box. After mixing well, two slips are drawn.
Given the explicit solution from part (a), what is the largest possible t-interval on which the explicit solution makes sense?
A farmer has 700 feet of fence with which to fence a rectangular plot of land. The plot lies along a river so that only three sides need to be fenced. Estimate the largest area that can be fenced.
Two weather tracking stations are on the equator 159 miles apart. A weather balloon is located on a bearing of N 38°E from the western station and on a bearing of N 14°E from the eastern station. How far is the balloon from the western station?
Write a mixed outcome problem (can be mass to volume, volume to representative particle, etc.)
A plane is heading due south with an airspeed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.
Find how many ways are there of winning the World Series in exactly six games if the winning team wins the first game?
Given a unit line segment AB (2 cm) construct a segment of length (1+Sqrt[5])/2. Given the unit segment above and construct a segment of length Sqrt[2/3]
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