Suppose SunEdge Corp., a solar panel manufacturing company, has the following production function: where q represents the number of solar panels produced, K is the amount of capital (e.g. factory equipment, machinery), and L is the amount of labor (e.g., worker hours). If wages are $15 per hour and the rental rate for capital is $25 per hour, derive SunEdge’s long-run cost curves — total cost, variable cost, fixed cost, average total cost, average variable cost, and average fixed cost. 

In a monopoly, price always equals marginal cost. 

A 22-year-old presents with ear pain, tragal tenderness, and a swollen ear canal after swimming. What is the most likely diagnosis?

A car manufacturer has been producing electric vehicles for several years. Over time, the factory workers and engineers become more skilled at their tasks, reducing the time needed to assemble each vehicle. Additionally, the factory expands production volume, allowing fixed costs like the factory rent and machinery to be spread over more cars. Which economic concept best explains the reduction in the time per vehicle assembly specifically due to workers’ increasing skill and efficiency?

A car manufacturer has been producing electric vehicles and decides to increase its production volume significantly by expanding its factory size and adding more assembly lines. As production increases, the fixed costs like factory rent, machinery, and administrative expenses are spread over a larger number of vehicles, reducing the average cost per car. Which economic concept best explains this decrease in average cost per vehicle? 

How much of a  30% solution do you use to make 150 mL of a 20% solution?

You require 60 mL of a 5% solution. You have a stock solution available to you in 8% strength. How much of your stock solution is needed to make this new solution?

A 5% solution is what in mg/mL?  

Assuming complete dissociation and ideal solution behavior, calculate the freezing point depression of a solution of 0.824 g of NaCl (58.44 g/mol) in 133 g of water (Kf = 1.86 ∘C·kg).

Ammonium chloride (NH₄Cl) is a salt that dissolves completely in water. The ammonium ion (NH₄⁺) acts as a weak acid with a Ka of 5.1 × 10⁻10. If a 0.050 M solution of NH₄Cl is prepared, what is the pH of the solution at 25°C?