 181.1: Complete Inventory Table A for total cost of purchases, goods avail...
 181.2: Cost Table A shows a breakdown of the ending inventory from Invento...
 181.3: Use Inventory Table A and Cost Table A to calculate the cost of goo...
 181.4: Complete Inventory Table B for total cost of purchases, goods avail...
 181.5: Cost Table B breaks down the ending inventory from Inventory Table ...
 181.6: Use Inventory Table B and Cost Table B to calculate the cost of goo...
 181.7: Calculate the average unit cost for Inventory Table A.
 181.8: Calculate the cost of ending inventory for Inventory Table A.
 181.9: Calculate the cost of goods sold for Inventory Table A.
 181.10: Calculate the average unit cost for Inventory Table B.
 181.11: Calculate the cost of ending inventory for Inventory Table B.
 181.12: Calculate the cost of goods sold for Inventory Table B.
 181.13: Determine the unit cost and cost of ending inventory for units in e...
 181.14: Find the cost of goods sold for Inventory Table A.
 181.15: Determine the unit costs for units in ending inventory for Inventor...
 181.16: Find the cost of goods sold for Inventory Table B.
 181.17: Determine the unit costs for units in ending inventory for Inventor...
 181.18: Find the cost of goods sold for Inventory Table A.
 181.19: Determine the unit cost for units in ending inventory for Inventory...
 181.20: Find the cost of goods sold for Inventory Table B.
 181.21: Complete Inventory Table A for the total retail value.
 181.22: Find the cost ratio for Inventory Table A.
 181.23: Find the cost of goods sold if sales total $78,982 for Table A.
 181.24: Complete Inventory Table B for the total retail value.
 181.25: Find the cost ratio for Inventory Table B.
 181.26: Find the cost of goods sold if sales total $1,691 for Table B.
 181.27: Use Inventory Table A and the gross profit inventory method to esti...
 181.28: Use Inventory Table B and the gross profit inventory method to esti...
Solutions for Chapter 181: INVENTORY
Full solutions for Business Math,  9th Edition
ISBN: 9780135108178
Solutions for Chapter 181: INVENTORY
Get Full SolutionsBusiness Math, was written by and is associated to the ISBN: 9780135108178. This expansive textbook survival guide covers the following chapters and their solutions. Since 28 problems in chapter 181: INVENTORY have been answered, more than 19480 students have viewed full stepbystep solutions from this chapter. Chapter 181: INVENTORY includes 28 full stepbystep solutions. This textbook survival guide was created for the textbook: Business Math, , edition: 9.

Block matrix.
A matrix can be partitioned into matrix blocks, by cuts between rows and/or between columns. Block multiplication ofAB is allowed if the block shapes permit.

Cholesky factorization
A = CTC = (L.J]))(L.J]))T for positive definite A.

Column space C (A) =
space of all combinations of the columns of A.

Complex conjugate
z = a  ib for any complex number z = a + ib. Then zz = Iz12.

Cramer's Rule for Ax = b.
B j has b replacing column j of A; x j = det B j I det A

Eigenvalue A and eigenvector x.
Ax = AX with x#O so det(A  AI) = o.

Hypercube matrix pl.
Row n + 1 counts corners, edges, faces, ... of a cube in Rn.

Independent vectors VI, .. " vk.
No combination cl VI + ... + qVk = zero vector unless all ci = O. If the v's are the columns of A, the only solution to Ax = 0 is x = o.

Iterative method.
A sequence of steps intended to approach the desired solution.

Linear combination cv + d w or L C jV j.
Vector addition and scalar multiplication.

Matrix multiplication AB.
The i, j entry of AB is (row i of A)·(column j of B) = L aikbkj. By columns: Column j of AB = A times column j of B. By rows: row i of A multiplies B. Columns times rows: AB = sum of (column k)(row k). All these equivalent definitions come from the rule that A B times x equals A times B x .

Minimal polynomial of A.
The lowest degree polynomial with meA) = zero matrix. This is peA) = det(A  AI) if no eigenvalues are repeated; always meA) divides peA).

Normal equation AT Ax = ATb.
Gives the least squares solution to Ax = b if A has full rank n (independent columns). The equation says that (columns of A)·(b  Ax) = o.

Normal matrix.
If N NT = NT N, then N has orthonormal (complex) eigenvectors.

Pascal matrix
Ps = pascal(n) = the symmetric matrix with binomial entries (i1~;2). Ps = PL Pu all contain Pascal's triangle with det = 1 (see Pascal in the index).

Pivot columns of A.
Columns that contain pivots after row reduction. These are not combinations of earlier columns. The pivot columns are a basis for the column space.

Pseudoinverse A+ (MoorePenrose inverse).
The n by m matrix that "inverts" A from column space back to row space, with N(A+) = N(AT). A+ A and AA+ are the projection matrices onto the row space and column space. Rank(A +) = rank(A).

Rank r (A)
= number of pivots = dimension of column space = dimension of row space.

Semidefinite matrix A.
(Positive) semidefinite: all x T Ax > 0, all A > 0; A = any RT R.

Symmetric factorizations A = LDLT and A = QAQT.
Signs in A = signs in D.