Question Thomas Company has a $5 million revolving credit agreement with Bank of Central Asia. Being a favored customer, the rate is set at 1 percent over the bank’s cost of funds, where the cost of funds is approximated as the rate on negotiable certificates of deposit (CDs). In addition, there is a 1⁄2 percent commitment fee on the unused portion of the revolving credit. If the CD rate is expected to average 9 percent for the coming year and if the company expects to utilize, on average, 60 percent of the total commitment, what is the expected annual dollar cost of this credit arrangement? What is the percentage cost when both the interest rate and the commitment fee paid are considered? What happens to the percentage cost if, on average, only 20 percent of the total commitment is utilized ?

Kaspar Industries expects credit sales for January, February, and March to be $220,000, $260,000, and $300,000, respectively. It is expected that 75% of the sales will be collected in the month of sale, and 25% will be collected in the following month. Compute cash collections from customers for each month. Prepare data for a cash budget. Please clearly label each item and explain how you got each numbers.

Find an equation for the rational function in the given graph. 10 5 %3D -10 -5 10 -5 -10 The equation of the graph is f(x) = . (Simplify your answer.) %3D 5. 10 5- -10 -5 5. 10 -5 -10 OK

Section 3.1 Vector Spaces: Problem 4 (1 point) Let V be the set of vectors in R² with the following definition of addition and scalar multiplication: 21 Y1 0 Addition: X2 ] X2 + y2 21 Scalar Multiplication: a O X2 αα2 Determine which of the Vector Space Axioms are satisfied. (u) = (142 = [02 = A1. x y = y ox for any x and y in V YES v A2. ( xy) z=x ( yz) for any x, y and z in V YES A3. There exists an element O in V such that x0 = x for each x EV NO A4. For each x EV, there exists an element -x in V such that x Ⓡ (-x) = 0 NO == A5. a O (x y) = (a ox) (a Oy) for each scalar a and any x and y V YES V = A6. (a + B) Ox= (a O x) = (Box) for any scalars a and B and any x EV YES V A7. (aß) ox= a O (Box) for any scalars a and ß and any x EV YES A8.1 x= x for all x EV YES

Lubriderm Corporation has the following budgeted sales in units for the next six-month period: Month June July August September October November Unit Sales 90,000 100,000 200,000 150,000 200,000 100,000 1. There were 25,000 units of finished goods in inventory at the beginning of July. 2. Plans are to have an ending inventory of finished products that equal Lubriderm Corporation has the following budgeted sales in units for the next six-month period: Month June July August September October November Unit Sales 90,000 100,000 200,000 150,000 200,000 100,000 1. There were 25,000 units of finished goods in inventory at the beginning of July. 2. Plans are to have an ending inventory of finished products that equal 25% of the unit sales for the next month. 3. Five pounds of materials are required for each unit produced. Each pound of material costs $10. 4. Ending Inventory levels for materials are equal to 20% of the total material inventory production needs for the next month. 5. Materials inventory on July 1 as 125,000 pounds. Requirementi Prepare a purchases budget in pounds and dollars for July, August, and September, and give total purchases in both pounds and dollars for each month. (6%) July August September Production in units Targeted ending inventory in lbs. Production needs in lbs. Total requirements in lbs. Less: Beginning inventory in lbs. Purchases needed in lbs. Cost per lb. Total material purchases

Marvin’s Magical Potions and More shop is located in a small rented store front. Each month Marvin pays $1,200 in rent, around $300 in utilities, another $100 in taxes and fees. His one salesperson earns roughly $1,000 per month independent of how much she’s there. His potions run approximately 50 cents per unit to produce. (The cost of the spell that give them their value is unfortunately impossible to quantify.) Further, each customer that enters is offered a free Tarot reading. A) Articulate the marginal costs associated with selling a single potion. B) Justify why you excluded the remaining costs. C) Assuming he can sell his potions for approximately $10 per potion, should he? Explain.

If the current flowing through a 75 mH inductor has the waveform shown in Fig. 7.46, (a) sketch the voltage which develops across the inductor terminals for t ≥0, assuming the passive sign convention; and (b) calculate the voltage at t =1s ,2.9s , and 3.1 s.