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A European apparel manufacturer has production facilities in Italy and China to serve its European market, where annual demand is for 1.9 million units. Demand is expected to stay at the same level over the foreseeable future. Each facility has a capacity of 1 million units per year. With the current exchange rates, the production and distribution cost from Italy is 10 euros per unit, whereas the production and distribution cost from China is 7 euros. Over each of the next three years, the Chinese currency could rise relative to the euro by 15 percent with probability of 0.5 or drop by 5 percent with probability of 0.5. An option being considered is to shut down 0.5 million units of capacity in Italy and move it to China at a one-time cost of 2 million euros. Assume a discount factor of 10 percent over the three years. Do you recommend this option?
Juan's first-grade class received 82 half-pint cartons of milk to distribute evenly to his 22 students. How many cartons were left over?
The Garda's bike accelerates uniformly and draws level with the car after a further 10 seconds. Find the acceleration of the Garda's bike.
A student thinks of a polynomial p(x) of arbitrary degree, and non-negative integer coefficients. How can you determine the student's polynomial by asking for two values of her polynomial
Using the graphs from part 3 compare the profits of each company and evaluate their claims. Which model seems more realistic, the linear or radical model, and why?
Tickets for a show cost $2.00 for adults and $1.50 for children. How many adult and how many children's tickets were sold if a total of 127 tickets were sold for $214?
Traffic jams slow her down and when she reaches the half way point M she realizes that her average speed so far is 40 m/s. At what average speed will she have to travel from M to B in order to keep her promise?
The graphic method of LP uses
Explain by showing algebraic steps, with words, or a combination of both how you know your line and the line 3x + y = 4 are parallel, but not the same.
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
Find the area of the largest rectangle that can be inscribed in the ellipse below.
Prove that the intersection of any collection of closed sets in X is a closed set and prove that the union of finitely many closed sets in X is a closed set.
A local store has washing machine on sale for $1285 with payment due 3 years from today. Store is willing to discount machine price at annual rate of 7% compounded annually if you buy today. What would you pay today?
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