Question: maple question the president of a major housing construction firm...
[Maple Question] The president of a major housing construction firm reports that the number of construction jobs (in millions) created is given by
N(x) = 1.42x
where x denotes the number of housing starts. Suppose the number of housing starts
in the next t months is expected to be
million units, where 0 ≤ t ≤ 12.
(a) Find and graph an expression for the number of jobs created per year in the nextt months. Open a new Maple worksheet and click the [> button at the top to start a new Maple line. On this first line type
Note: If the text of restart: is black (not red), press the key F5 first (Fn- F5 on Mac) before typing on each line to switch to the red font.
Define the number of jobs created as the function N(x) using the command> N:=1.42*x;
Define the number of housing starts as the function x(t) using the command
Note: The hat (∧) symbol for exponents is found on the keyboard as Shift-6, and the asterisk (∗) symbol for multiplication as Shift-8. Type ’:=’ when defining variables or functions.
Let’s look at what the function N looks like now that we defined
Notice the blue output in Maple has substituted x in the function N.
Graph the function using the command
(b) Use the graph in (a) to estimate the value of t at which the number of jobs created equals 2.1 million. Identify the month of the year that corresponds to this value. To determine the exact value of t we use the solve command and type> solve(N=2.1,t);
Highlight the t value outputted which corresponds to our interval, this is the month when 2.1 (million) jobs are created per year. Title as Question 7 and submit the printout with your assignment.