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To find the design capacity needed to achieve an actual output of eight jobs per week, we can use the given information about effective capacity and actual output.Let's break down the problem step by step:Effective capacity is 50 percent of design capacity.Actual output is 80 percent of effective output.Given that the actual output is 8 jobs per week, we need to calculate the effective output first and then find the design capacity.Let's denote:E = Effective capacityA = Actual outputD = Design capacityWe know that:E = 0.5D (Effective capacity is 50 percent of design capacity)A = 0.8E (Actual output is 80 percent of effective output)Given that A = 8 jobs per week, we can find E: [ A = 0.8E ] [ 8 = 0.8E ] [ E = \frac{8}{0.8} ] [ E = 10 , \text{jobs per week} ]Now that we have the effective capacity, we can find the design capacity: [ E = 0.5D ] [ 10 = 0.5D ] [ D = \frac{10}{0.5} ] [ D = 20 , \text{jobs per week} ]So, a design capacity of 20 jobs per week would be needed to achieve an actual output of eight jobs per week.