Atank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. the values in the table show the volume of water remaining in the tank (in gallon) after minutes. (min) 5 10 15 20 25 30 vol) 690438 250 115 27 0 (a) if p is the point (15, 250) on the graph of v, find the slopes of the secant lines when is the point on the graph with the following values, (round your answers to one decimal place slope (5, 690) (10,438) (20, 115) (25, 27) (30,0) (b) estimate the slope of the tangent line at p by averaging the slopes of two adjacent secant lines. (round your answer to one decimal place.) my notes ask you

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.