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A company manufactures gadgets that come in small, medium, and large. The storage area can hold a total of 45 boxes. Each box can hold 200 small. 100 medium, or 50 large gadgets. They have have enough hours to make 5000 gadgets. A box of small gadgets takes 2 hours to pack, white the boxes of medium or large require only 1 hour. They have 60 hours available for packing. Small gadgets sell for $30 a box, medium for $10. and large for $20. How many boxes of each should be made to maximize their revenue? Have they used all available storage room and hours? Tell the story behind each basic feasible solution sure to include the slack variables and specify if this is a maximum.
There were 67 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Calculate the breakeven point.
Find the equation of the tangent line at the indicated point- f(x) = sin(x)sec(x) at x = π.
Elementary Mathematics-matrix multiplication.
State the domain of r. Determine the direction and magnitude of the vector derivative at t = ln(2). Determine the length of the curve from 0 ≤ t ≤ 1.
Find the average rate of change of the percentage of e-filed returns from 2000 to 2002. Find the average rate of change of the percentage of e-filed returns from 2004 to 2006.
Recompute given Exercise adjusting for in-situ strength, assuming the transition thickness for this material is tt = 0.6 mm.
In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present.
Write down the vector equation AND Cartesian equation of a plane P through the points V1, V2, and V3.
The distance from home plate to dead center firld in a certain baseball stadium is 407 feet. A baseball diamond is a square with a distance from home plate to first base is 90 feet. How far is it from first base to dead center field?
Draw a Venn diagram to represent the above information. Determine the value of x. How many boys do not play Rugby or Cricket. How many boys play at most two of the sports
Suppose that p and q are prime numbers and that n = pq. Use the principle of inclusion-exclusion to find the number of positive integers not exceeding n that are relatively prime to n.
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