Tamu Math 140 UPDATED Exam Questions and CORRECT Answers
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Course
Tamu Math 140
Institution
Tamu Math 140
cost function - C(x)=mx+b
variable cost+fixed cost
revenue function - R(x)=p*x
profit function - P(x)= R(x)-C(x)
break even quantity - R(x)=C(x) (or P(x)=0)
where revenue and cost intersect
equilibrium point - S(x)=D(x)
where supply and demand intersect
Tamu Math 140 UPDATED Exam Questions and CORRECT Answers cost function - ✔✔✔ C(x)=mx+b variable cost+fixed cost revenue function - ✔✔✔ R(x)=p*x profit function - ✔✔✔ P(x)= R(x) -C(x) break even quantity - ✔✔✔ R(x)=C(x) (or P(x)= 0) where revenue and cost intersect equilibrium point - ✔✔✔ S(x)=D(x) where supply and demand intersect how to determine which number to pivot - ✔✔✔ a) Find the MOST NEGATIVE element in the last row. This determines the pivot column. If there are two that have the same most negative value, either one is fine. (b) For each POSITIVE entry above the horizontal line in the pivot column, divide the constant on the right side of the vertical line by the corresponding element in the pivot column. The row with the smallest ratio becomes the pivot row. If there is a tie between smallest ratio, defalt goes to the one that's in the highest row. (c) The element where the pivot column and r ow intersect is the pivot element. how do you know when you're done pivoting - ✔✔✔ when there's no more negative numbers in the bottom row elementary operations - ✔✔✔ yield an equivalent system of equations •A matrix is in echelon form if: - ✔✔✔ 1. The fir st nonzero element in any row is 1, called the leading one. 2. The column containing the leading one has all elements below the leading one equal to 0. 3. The leading one in any row is to the left of the leading one in a lower row. 4. Any row consisting of all zeros must be below any row with at least one nonzero element. Gauss elimination - ✔✔✔ procedure for a systematically using elementary operations to reduce a system of linear equations to an equivalent system whose solution set can be immediately dete rmined by backward substitution. order of a matrix - ✔✔✔ m × n where m is the number of rows and n is the number of columns. element in the ith row and jth column of a matrix A is denoted by - ✔✔✔ A(ij) transpose of a matrix - ✔✔✔ represented by A^T switch the rows and the columns row matrix - ✔✔✔ matrix with one row column matrix - ✔✔✔ matrix with one column square matrix - ✔✔✔ matrix with equal number of rows and columns identity matrix - ✔✔✔ Matrix multiplication properties - ✔✔✔ A(BC) = (AB)C A(B+C) = AB+AC AIn= InA = A
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