A tangency between an isocost line and an isoquant shows all the following, except: A. the minimum cost necessary to produce a given output. B. an input combination where the ratio of marginal products equals the ratio of the input prices. C. an input combination where the returns to labor and capital inputs are equal. D. the maximum output attainable by a firm at a given cost.

At a young age, ebony's coaches were confident she had the potential to be a world-class swimmer with a future coaching career. after four years on an athletic scholarship and olympic experience under her belt, she chose a different path. with her savings and personal connections, she rented a corner building in a bustling san francisco neighborhood and pursued her dream: a surf shop business. ebony's dream was rooted in which basic right of free-market capitalism?

Under t, the point (0,2) gets mapped to (3,0). t-1 (x,y) →

Oz makes lion food out of giraffe and gazelle meat. giraffe meat has 18 grams of protein and 36 grams of fat per pound, while gazelle meat has 36 grams of protein and 18 grams of fat per pound. a batch of lion food must contain at least "46,800" grams of protein and 70,200 grams of fat. giraffe meat costs $1/pound and gazelle meat costs $2/pound. how many pounds of each should go into each batch of lion food in order to minimize costs? hint [see example 2.]