Question Hello,I am having issues with the following homework problem:A fence is to be built to enclose a rectangular area of 210 square feet. The fence along three sides is to be made of material that costs 3 dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.Thanks.

Let \( f: A \rightarrow B \) and \( g: C \rightarrow D \) be continuous functions. We define a function \( f \times g: A \times C \rightarrow B \times D \) by, \[ (f \times g)(a, c)=(f(a), g(c)) \] Prove that \( f \times g \) is continuous. Let f:A→B and g:C→D be continuous functions. We define a function f×g:A×C→B×D by, (f×g)(a,c)=(f(a),g(c)) Prove that f×g is continuous.

Find a vector a with representation given bythe directed line segment AB. DrawAB and the equivalent representationstarting at the origin.a) A(-2,-2), B(5,3)b) A(4,0,-2), B(4,2,1)

Sweet Catering completed the following selected transactions during May 2016: Sweet Catering completed the following selected transactions during May 2016: • May 5: Received and paid electricity bill, $120 May 9: Received cash for meals served to customers, $3,190 • May 23: Served a banquet on account, $2,540 • May 31: Accrued salary expense, $750 • May 31: Recorded prepaid insurance expired, $170 If Sweet Catering had recorded transactions using the Cash method, how much net income (loss) would they have recorded for the month of May? If there is a loss, enter it with parentheses or a negative sign. If Sweet Catering had recorded transactions using the Accrual method, how much net income (loss) would they have recorded for the month of May? If there is a loss, enter it with parentheses or a negative sign.

Degree of financial leverage The Plastic Corporation has a current capital structure consisting of $150,000 of 15% debt and 3,500 shares of common stock. The tax rate is 40%.a. Determine the earnings per share (EPS) when EBIT is $75,000 and $99,500.b. Calculate the degree of financial leverage (DFL) using EBIT of $75,000 as a base.c. What is the meaning of The Plastic Corporation’s DFL?

14.1 Match the terms in the left column with their definitions from the right column: 1. Bill of materials a. A factor that causes costs to change 2. Operations list b. A measure of the number of good units produced in a period of time c. A list of the raw materials used to create a finished product 3. Master production schedule 4. Lean manufacturing d. A document used to authorize removal of raw materials from inventory 5. Production order e. A cost accounting method that assigns costs to products based on specific processes performed 6. Materials requisition f. A cost accounting method that assigns costs to specific batches or production runs and is used when the product or service consists of uniquely identifiable items 7. Move ticket g. A cost accounting method that assigns costs to each step or work center and then calculates the average cost for all products that passed through that step or work center 8. Job-time ticket h. A document that records labor costs associated with manufacturing a product 9. Job-order costing i. A document that tracks transfer of inventory from one work center to another 10. Cost driver j. A document that authorizes manufacture of a finished good 11. Throughput k. A document that lists the steps required to manufacture a finished good 1. A document that specifies how much of a finished good is to be produced during a specific time period 12. Computer-integrated manufacturing m. A production planning technique that is an extension of the just-in-time inventory control method n. A production planning technique that is an extension of the materials requirement planning inventory control method o. A term used to refer to the use of robots and other IT techniques as part of the production process

The worldwide market share for the Chrome web browser was 56.43% in a recent month. Suppose that you decide to select a sample of 100 students at your university and you find that 60 use the Chrome web browser. a. Use the five-step p-value approach to determine whether there is evidence that the market share for the Chrome web browser at your university is greater than the worldwide market share of 56.43%. (Use the 0.05 level of significance.) b. Suppose that the sample size is n = 600, and you find that 60% of the sample of students at your university (360 out of 600) use the Chrome web browser. Use the five-step p-value approach to try to determine whether there is evidence that the market share for the Chrome web browser at your university is greater than the worldwide market share of 56.43%. (Use the 0.05 level of significance.) c. Discuss the effect that sample size has on hypothesis testing. d. What do you think are your chances of rejecting any null hypothesis concerning a population proportion if a sample size of n = 20 is used?