Question: 1. Two new DVDs, a horror film and a comedy film, are released in the same week. The weekly number N of rentals decreases for

1. Two new DVDs, a horror film and a comedy film, are released in the same week. The weekly number N of rentals decreases for the horror film and increases for the comedy film according to the models

JN = 360 – 24x IN = 24 + 18x Horror film Comedy film

where x represents the time (in weeks), with x = 1 corresponding to the first week of release.
(a) After how many weeks will the numbers of DVDs rented for the two films be equal?
(b) Use a table to solve the system of equations numerically. Compare your result with that of part (a)..
2. The supply and demand curves for a business dealing with wheat are
Supply: p = 1.45 + 0.00014x2
Demand: p = (2.388 ˆ’ 0.07x)2
where p is the price (in dollars) per bushel and x is the quantity in bushels per day. Use a graphing utility to graph the supply and demand equations and find the market equilibrium. (The market equilibrium is the point of intersection of the graphs for x > 0.)

JN = 360 24x IN = 24 + 18x Horror film Comedy film

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1 a Substitute for R in Equation 2 360 24x 24 18x Solve for x 336 42x x 8 weeks b ... View full answer

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