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1. A group excursion is offered at a price of $300 per person. This price will be honored if 100 tickets are sold. For each additional person, the

Answer all the questions on the document with working for each one if necessary do working by hand and than scan document, as working is most important

1. A group excursion is offered at a price of $300 per person. This price will be honored if 100 tickets are sold. For each additional person, the price will decrease by $2. Write the revenue equation in terms of the number of additional tickets sold. What number of passengers, and what price, will produce maximum revenue? 2. Solve the equation: 2 log(x – 12) + 3.1 = 5.7. Round the answer to 2 decimal places. 3. Find the difference quotient for the function f(x) = 2x 2 - 3x. 4. A company buys a machine for $12 million. Four years later, the machine is worth $9 million. Assume the decline in value follows the exponential model y = y 0 e kt . Find the model, and use it to determine the machine’s value in another four years. (Round k to 2 decimal places. Round the machine’s value, in millions, to one decimal place.) 5. An investor has $40000 to invest. He will divide the investment among three funds. One fund earns 4%, the second 8% and the third 10%. The amount invested at 4% is twice the amount invested at 10%. The return after one year was $2480. How much was invested in each fund? 6. A company makes three types of product (A, B and C) with specifications below: Product: A B C Total Allowed Weight 20 20 60 220 lbs Volume 20 15 20 125 cu ft Each product is produced in whole units only. a) Write a system of equations that could be used to determine what combination of products should be shipped. b) Write the augmented matrix that matches the system. c) Perform row operations to obtain a reduced matrix. d) Interpret the matrix to determine the quantities to be shipped.
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7. Table 1 Labor Hours Required Table 2 Hourly Labor Costs Mfg Fin Ship Plant APlant B X 15 12 6 Mfg 10 6 Y 20 8 12 Fin 12 10 Ship 8 8 Table 1 shows hours of labor required to produce products X and Y. Labor could be in the form of manufacturing, finishing, or shipping. Table 2 shows hourly labor costs in the three categories, as incurred at Plants A and Plant B. Form matrices representing the tables, and multiply the matrices to compute total costs to produce. Interpret the entries in the first row of the matrix.
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