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Your job is to design a closed rectangular box of minimum cost. Suppose the box is to be of volume cubic cm; and the cost of material for the front and back sides is b dollars per square cm, c dollars per square cm for the left and right two sides, and d dollars per square cm for the top and bottom sides.
1) Do the mathematics to find the dimensions of the box of minimum cost.2) Explain the ramifications of various differences in the costs of materials, i.e. what happens to the dimensions of the box. You might want to deal with certain cases:i) b = c = d,ii) b = c = 2d,iii) b = 2c = 3d.
Suppose that Ford's performance scores really are Normally distributed. This year, managers with scores less than 31 received C's and those with scores above 595 received A's. What are the mean and standard deviation of the scores?
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum.
Find the indicated area under the standard normal curve.
A local company makes pigments used to color fabrics, plastics and paints. To ensure the finished product matches the customer's expectations, pigments of varying strength are blended to obtain what is called a "100% strength" commercial standard.
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State whether each of the following fractions is a terminating or repeating decimal. If the decimal terminates, state the number of decimal places and show how you decided.
When she is 30, Sue starts making annual deposits of $2,000 into a bondfund that pays 8% annual interest compounded continuously. Assuming that her deposits are made as a contiuous income flow, how much money will be in her account if she retires ..
A ski jump is design to follow the path given by the equations: x=3.5t^2 and y=20.0+0.120t^4 - 3.00 sqrt(t^4+1) (0 less than or equal to (t) less than or equal to 4.00 s) ( x and y in m, t in s). Find the velocity and acceleration of a skier when ..
Find the distance from the origin to the line passing through the point P(3,1,5) and having the direction vector v=2i-j+k.
Can a linear equation and a linear inequality be solved in the same way? Explain why? What makes them different?
Find the slope and the line through the points (2,8) and (7,3). Find the slope and the y-intercept of the line 9x + 3y =81. On Friday, Shawn drove to the lake in 45 minutes. On Sunday he returned up in 9 less minutes and averaged 12 more miles per h..
Given a line segment of length 1 inch, how do I construct a line segment of squareroot(6), squareroot(7), squareroot(8), etc. Also, given a wire of total length 4236 feet, how do I construct a golden triangle from the wire?
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