When a company produces and sells x thousand units per week its total weekly profit is P thousand dollars. where P = 100x/100 + x^2. The production level at t weeks from the present is x = 4 + 2t Find the marginal profit, dP/dx and the time rate of change of profit, dp/dt. How fast (with respect of time) are profits changing when t =8? dP/dx = (Type an expression using x as the variable.) dP/dt = (Type an expression using t as the variable.) The profits are at the rate of $ per week, when t equals 8. (Simplify your answer.)

Which of the following circles have their centers on the x-axis? check all that apply.

Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50.

Woodland bicycles makes two models of off-road bicycles: the explorer, which sells for $250, and the grande expedition, which sells for $350. both models use the same frame, but the painting and assembly time required for the explorer is 2 hours, while the time is 3 hours for the grande expedition. there are 375 frames and 450 hours of labor available for production. how many of each model should be produced to maximize revenue? a. 200 explorers 50 grande expeditions c. 225 explorers 0 grande expeditions b. 150 explorers 10 grande expeditions d. 325 explorers 50 grande expeditions