Electronics. A supplier for the electronics industry manufactures keyboards and screens for graphing calculators at plants in Mexico and Taiwan. The hourly production rates at each plant are given in the table. How many hours should each plant be operated to exactly fill an order for
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- Graph on the number line: (a) x1 (b) x2 (c) x3arrow_forwardVince had 10 weeks to get in shape for a race. The line graph shows how many miles he ran per training session each week. 10-Week Training 7 6. 4 2 0 1 2 3 4 5 6 7 8 9 10 Week © 2020 StrongMind. Created using GeoGebra. What is the total number of miles that Vince ran per session in weeks 5, 6, 7, and 8? Enter your answer as a whole number, like this: 42 Milesarrow_forwardcharge 8. A wine warehouse expects to sell 30,000 bottles of wine each year. Each bottle costs $9, plus a fixed of $200 per order. If it costs $3 to store a bottle for a year, how many bottles should be ordered at a time and how many orders should the warehouse place in a year to minimize inventory costs?arrow_forward
- Respond manuallyarrow_forwardThe owner of an apartment building can rent all 50 apartments if she charges $1,700 per month, but she rents one fewer apartment for each $50 increase in monthly rent. (a) Construct a table that gives the revenue generated if she charges $1,700, $1,750, and $1,800. Total Revenue No. of Apts 50 49 48 Rent $1,700 $ 85000 $1,750 $ 85750 $1,800 $ 86400 Need Help? ✓ Excellent job! (b) Does her revenue from apartment rentals increase or decrease as she increases the rent from $1,700 to $1,800? o revenue increases revenue decreases Read It ✓ Great job. ✓ Way to go! Nice work. (c) Write an equation that gives the revenue R, from apartment rentals if she makes x increases of $50 in the rent. R(x) = -50x² +800x+8500 X (d) Find the rent she should charge to maximize her revenue. $2100 ✓per montharrow_forwardA certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars) (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…arrow_forward
- Solve step by step in digital format 3. Graph and conclude according to the variable under study, productions were taken in tons of corn, sorghum and beans in three different regions of the country and the following was found in the northern zone: 500, 400, 200, respectively, for the central region the following 700,500,500 were found and for the southern region the following 1000,700,300.arrow_forwardA please. Scatter diagram included.arrow_forwardEach month interviewers visit about 63,000 of the 84 million households in the region and question the occupants over 14 years of age about their immigration status. Their responses enable the interviewers to estimate the percentage of people in the labor force who are illegal immigrants. Complete parts a through c. a. Define the population of interest to the interviewers. A. The 63,000 households visited in the region B. Immigration status C. All people in the region who are over 14 years old D. The 84 million households in the regionarrow_forward
- Express all answers as decimals rounded to 3 decimal places, if needed. Express percentages as decimals (instead of 25.6%, use .256) Cell phone users in Boise can choose between three carriers: Sprint, AT&T, and Verizon. Advertising by all three companies results in a continual shift of customers. Each year, Sprint loses 30% of customers to AT&T and 30% to Verizon. AT&T loses 20% to Sprint and 10% to Verizon. Verizon loses 25% to Sprint and 25% to AT&T. Currently, Sprint has 25% of the market, AT&T has 35%, and Verizon has 40%. Use the order Sprint (S), AT&T (A), Verizon (V) throughout this assignment. 1. State the probability vector: 2. Create the transition matrix, labeling rows and columns, and draw the transition diagram. Create your matrix with the rows ordered S, A, and V, and columns ordered S, A, and V. 3. Assume that for 5 years this trend continues. State the transition matrix after 5 years. 4. What is the market share for each company after 5 years? Sprint: AT&T: Verizon: 5.…arrow_forward3arrow_forwardThe following table shows the expenses and income for a local college student. Assume that amounts shown for salaries and wages are after taxes and that 1 month = 4 weeks. Income Expenses Part-time Job: $1100/month Rent: $550/month Student Loans: $8400/year Groceries: $50/week Scholarship: $5700/year Tuition and Fees: $7500/year Health Insurance: $40/month Entertainment: $40/week Phone: $65/month a) What is the student's monthly income? b) What is the student's monthly expenses? c) What is the student's net monthly cash flow?arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University