week 4 review
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Find an equation of the line that passes through the points (1, 4) and ( -7, -4)
Maximize P= 10x + 12y subject to
Write the equation
Determine whether the given simplex table is in the final form. If so, find the solution to the associated regular linear programming problem.
Solve the system of linear equations, using the Gauss-Jordan elimination method.
Solve the linear system of equations
Unique solution: Unique solution: Infinitely many solutions:
If the line passing through the points (2, a) and (5, – 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1) , what is the value of a?
Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b.
Solve the linear system of equations
Unique solution: Unique solution: Infinitely many solutions:
Solve the linear programming problem by the simplex method.
Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem.
Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9
y =
y =
y = –
y = –
Solve the system of linear equations using the Gauss-Jordan elimination method.
Indicate whether the matrix is in row-reduced form.
Metro Department Store’s annual sales (in millions of dollars) during 5 years were
Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.
Find the constants m and b in the linear function f(x) = mx + b so that f(1) = 2 and the straight line represented by f has slope – 1.
Solve the linear system of equations
Unique solution: Unique solution: Infinitely many solutions:
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