Succulent citrus produces orange juice and orange concentrate. this year the company anticipates a demand of at least 11,000 quarts of orange juice and 1,500 quarts of orange concentrate. each quart of orange juice requires 10 oranges, and each quart of concentrate requires 50 oranges. the company also anticipates using at least 260,000 oranges for these products. each quart of orange juice costs the company 50¢ to produce, and each quart of concentrate costs $2.00 to produce. how many quarts of each product should succulent citrus produce to meet the demand and minimize total costs?

Do social recommendations increase ad effectiveness? a study of online video viewers compared viewers who arrived at an advertising video for a particular brand by following a social media recommendation link to viewers who arrived at the same video by web browsing. data were collected on whether the viewer could correctly recall the brand being advertised after seeing the video. the results are given below. correctly recalled the brandarrival 409153browsing20484b. conduct the hypothesis test, using the 0.025 level of significance. what is the value of the test statistic? χ2stat=what is the p-value? p-value=is this value significant atα=0.025?