Suppose F ( x ) = ⌈ x ⌉ . {“version”:”1.1″,”math”:”F(x)=\left \lceil{x}\right \rceil. “} Which of the following choices for domain and target (codomain) make F a well-defined one-to-one (injective) function?  Select all that apply.

Continuing with the same set \(S= \{1, \{1\}, \{1, 2\}, 2, \{3\}, \emptyset, 1 \} \). Which of the following are subsets ( \(\subseteq\)) of S? Select all that apply.

Continuing with the same set \(S= \{1, \{1\}, \{1, 2\}, 2, \{3\}, \emptyset, 1 \} \), find |S|, the cardinality of S

OPTIONAL: For partial credit considerations, you can upload your work and/or explanation to the matching question.  Audio explanation is fine as well. Clearly write your name on your work.  Upload to D2L under “assignments” if upload here doesn’t work. If you do this, please write something here so that I know. 

FreshHarvest Transportation Optimization Problem FreshHarvest is an agricultural company that grows and distributes organic produce. After harvest, products are transported in refrigerated truckloads from two farms to two distribution centers (DCs), and then from the DCs to three grocery stores. Each farm has a weekly supply limit, and each grocery store has a specific weekly demand. The company wants to determine how to route shipments through the DCs to meet all store demands at the minimum total shipping cost, while respecting all supply, demand, and capacity constraints. Table 1: Shipping from Farms to Distribution Centers This table includes: DC1 Cost and DC2 Cost: the cost per truckload to ship from each farm to each distribution center DC1 Max and DC2 Max: the maximum number of truckloads that can be shipped from each farm to each DC Maximum Farm Supply: the total weekly truckload capacity each farm can produce From / To DC1 Cost DC2 Cost DC1 Max DC2 Max Maximum Farm Supply Farm A $300 $400 100 120 150 Farm B $350 $375 120 130 180 Table 2: Shipping from Distribution Centers to Grocery Stores This table includes: Store 1 Cost, Store 2 Cost, and Store 3 Cost: the cost per truckload to ship from each DC to each grocery store Store 1 Max, Store 2 Max, and Store 3 Max: the maximum number of truckloads that can be shipped from each DC to each store From / To Store 1 Cost Store 2 Cost Store 3 Cost Store 1 Max Store 2 Max Store 3 Max DC1 $250 $270 $260 80 90 70 DC2 $230 $240 $250 100 120 80 Store Demand Requirements Each store has a fixed weekly demand for truckloads of produce: Store 1: 90 truckloads Store 2: 120 truckloads Store 3: 70 truckloads Objective: Formulate and solve a linear programming model to determine how many truckloads to ship from each farm to each DC, and from each DC to each store, in order to minimize total shipping cost while satisfying all supply, capacity, and demand constraints. Questions What is the minimized total shipping cost under the current conditions? $ The truckers have requested an increase in the shipping cost from DC1 to Store 3. What is the maximum cost per truckload that would still keep the current transportation plan as the optimal solution? $

OptiCraft Furniture Production Problem Maya, Ethan, and Zoe are partners in a small business that designs and sells custom handcrafted furniture. Each week, Maya and Ethan are available to work up to 40 hours, while Zoe can work up to 25 hours. The company produces two main types of furniture: dining tables and coffee tables. Maya is the designer, Ethan is the woodworker, and Zoe handles sales and logistics. The time (in hours) each partner must contribute to complete one unit of each product is shown below: Dining Table Coffee Table Time Available (hrs) Design (Maya) 4 6 40 Woodworking (Ethan) 8 4 40 Sales/Logistics (Zoe) 3 2 25 Each dining table sold yields a profit of $350, and each coffee table yields a profit of $220. Determine how many dining tables and coffee tables OptiCraft should produce each week to maximize total profit, subject to labor availability constraints for each partner. What is the maximized profit under the current conditions? $ If Maya can work up to 10 hours of overtime, what is the highest wage per hour the company should be willing to pay for her overtime? $/hr If Zoe can also work up to 10 hours of overtime, what is the highest wage per hour the company should be willing to pay for her overtime? $/hr  

Once you’re finished testing but before you’ve submitted your exam in Canvas, you will hold up each page of your handwritten work (including scrap work) in front of your webcam to record an image of your worked-out solutions. An extra minutes of testing time has been given to each exam for this purpose. Once this process is done, you will then submit your exam in Canvas and will have minutes to upload your handwritten work to each exam’s respective Canvas assignment.

What type of web camera are students allowed to use on all proctored exams to include the Syllabus Quiz? More than one answer may apply.

Las historias de los caballeros andantes en inglés son

Estas novelas, La casa de los espíritus y La isla bajo el mar son de la autora ____________