Use a graphing calculator or computer to find the production matrix X, given the following input-output and demand matrices.
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Finite Mathematics (11th Edition)
- The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x1, the number of days in the month x2, the average product purity x3, and the tons of product produced x4. The past year's historical data are available and are presented in the following table. Y 240 236 290 274 301 316 300 296 267 276 288 261 x1 25 31 45 y=a+a 60 65 72 80 84 75 60 50 38 X₂ 24 21 24 25 25 26 25 25 24 25 25 23 X3 91 90 88 87 91 94 87 86 88 91 90 89 X4 100 95 110 88 94 99 97 96 110 105 100 98 =a + ax + ax + a 11 2 2 value of a? Use 4 decimal places. 3x3+ax represents the regression model. What is the 4 4arrow_forwardC (gross cost of UPS Inc. in billions of $) and R (gross revenue of UPS Inc. in billions of $) O E (years since 2010) and P (gross profit of UPS Inc. in billions of $) (b) Find an equation for a model of these data. (Use the first and last values in the table to calculate your equation. Round the slope and the vertical intercept to one decimal place. Note th -Select- () Give a reasonable domain and range for this model. domain O (-10, 10] O [11, 15] O -0, 0) O [0, 20] O [-2, 8] range [41.9, 47.8] O [-50, 50] [37.3, 52.3] [0, 100] O (-o, co) (d) What is the slope of your model? Explain its meaning in this situation. (Round your slope to one decimal place. Do not include units in your answer.) The slope is This means that the gross profit for UPS Inc. --Select--- by about that value in billions of dollars each year. (e) Estimate the gross profit for UPS in 2019. (Round your answer to the nearest tenth of a billion dollars. Include units in your answer. More information.) In 2019, the…arrow_forwardThe yield of maize is largely dependent on the amount of rainfall. If an agro-allied industry, planning for bumper harvest of the produce approached you (as an engineer) for advice on it planning strategy. What advice will you give for the next planting year given previous yields of maize on the farm in the last 10 years, as shown in Table below? 2015 2008 3.2 4.5 Year 2007 2009 2010 2011 2012 2013 2014 2016 Yield (tonnes/ha) 3.6 5.6 3.8 5.4 1.9 4.7 2.8 3.8 4.3 2.0 Amount of daily Rainfall (mm) 3.2 3.5 5.2 2.8 5.5 5.8 5.3 6.6arrow_forward
- An investment club has set a goal of earning 15% on the money it invests in stocks. The members are considering purchasing three possible stocks, with their cost per share (in dollars) and their projected growth per share (in dollars) summarized in the following table. (Let x = computer shares, y = utility shares, and z = retail shares.) Stocks Computer (x) Utility (y) Retail (z) Cost/share 30 44 26 Growth/share 6.00 6.00 2.40 (c) What is the minimum number of shares of computer stock they should buy? What is the number of shares of the other stocks in this case? utility shares retail sharesarrow_forwardAn investment club has set a goal of earning 15% on the money it invests in stocks. The members are considering purchasing three possible stocks, with their cost per share (in dollars) and their projected growth per share (in dollars) summarized in the following table. (Let x = computer shares, y = utility shares, and z = retail shares.) Stocks Computer (x) Utility (y) Retail (z) Cost/share 30 44 26 Growth/share 6.00 6.00 2.40 (a) If they have $392,000 to invest, how many shares of each stock should they buy to meet their goal? (If there are infinitely many solutions, express your answers in terms of z as in Example 3.) (х, у, z) %3D (b) If they buy 900 shares of retail stock, how many shares of the other stocks should they buy? computer shares utility shares What if they buy 1800 shares of retail stock? computer shares utility shares (c) What is the minimum number of shares of computer stock they should buy? shares What is the number of shares of the other stocks in this case? utility…arrow_forwardAn investment club has set a goal of earning 15% on the money it invests in stocks. The members are considering purchasing three possible stocks, with their cost per share (in dollars) and their projected growth per share (in dollars) summarized in the following table. (Let x = computer shares, y = utility shares, and z = retail shares.) Stocks Computer (x) Utility (y) Retail (z) Cost/share 30 44 26 Growth/share 6.00 6.00 2.40 (a) If they have $392,000 to invest, how many shares of each stock should they buy to meet their goal? (If there are infinitely many solutions, express your answers in terms of z as in Example 3.)arrow_forward
- An investment club has set a goal of earning 15% on the money it invests in stocks. The members are considering purchasing three possible stocks, with their cost per share (in dollars) and their projected growth per share (in dollars) summarized in the following table. (Let x = computer shares, y = utility shares, and z = retail shares.) Stocks Computer (x) Utility (y) Retail (z) Cost/share 30 44 26 Growth/share 6.00 6.00 2.40 (x, y, z) = (a) If they have $392,000 to invest, how many shares of each stock should they buy to meet their goal? (If there are infinitely many solutions, express your answers in terms of z as in Example 3.) (b) If they buy 500 shares of retail stock, how many shares of the other stocks should they buy? What if they buy 1000 shares of retail stock? (c) What is the minimum number of shares of computer stock they should buy? sharesWhat is the number of shares of the other stocks in this case? (d) What is the maximum number of shares of…arrow_forwardDemand for stereo headphones and MP3 players for joggers has caused Nina Industries to grow almost 50 percent over the past year. The number of joggers continues to expand, so Nina expects demand for headsets to also expand, because, as yet, no safety laws have been passed to prevent joggers from wearing them. Demand for the players for this year was as follows: MONTH DEMAND (UNITS) January 4,200 February 4,300 March 4,000 April 4,400 May 5,000 June 4,700 July 5,300 August 4,900 September 5,400 October 5,700 November 6,300 December 6,000 Using linear regression analysis, what would you estimate demand to be for each month next year? Using a spreadsheet, follow the general format in Exhibit 3.7. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. To be reasonably confident of meeting demand, Nina decides to use three standard errors of estimate for safety. How many additional units should be held to meet this level…arrow_forward
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